What will be the probability that in a month of 30 days there are 5 Monday.

M4maths Previous Puzzles

26 Aug 2014 Probability What will be the probability that in a month of 30 days there are 5 Monday.: OPtion
1) 1/8
2) 2/3
3) 1/4
4) 2/9
5) 1/5
6) 1/6
7) 3/7
8) 2/7
9) 2/5
10)None of these; Correct Option: 8 Best Solution (112)

BHANU KUMAR 9 years AGO

in a month of 30 days =30/7=4 weeks and 2 days.
now our sample spaces are (sun mon),(mon tue),(tue wed),(wed thu),(thu fri),(fri sat),(sat sun)
event is of having monday are (sun mon),(mon tue)

probability=n(e)/n(s)=2/7(OPTION 8)

Like? Yes (25) | No (8)

vivek 9 years AGO

for 28 days there are 4 monday.
so remaing 2 day will be favorable if (sun,mon) ,(mon,tues) occurrs in 2 ways
total day in week=7
so required probability= 2/7

Like? Yes (6) | No (1)

ATTARU NASIMUNNI 9 years AGO

IF THE MONTH STARTS WITH MONDAY OR SUNDAY THERE WILL BE 5 MONDAYS IN A MONTH OF 30 DAYS . .
SO 1/7 + 1/7 = 2/7

Like? Yes (7) | No (3)

jagdish sharma 9 years AGO

in 30 days 4 weeks complete and 2 days
7 casas for two days
(s,m),(m,t),(t,w),(w,t),(t,f),(f,s),(s,s)
in two casa monday will come
so probability=2/7

Like? Yes (5) | No (1)

ashok 9 years AGO

7*4=28days
remaining days=2
probability is 2/7

Like? Yes (4) | No

kundan kumar 9 years AGO

in a month 28 days of complete week and 2 day extra
so
2/7

Like? Yes (4) | No (1)

Samrat Adhikari 9 years AGO

To have 5 any days (Sun,Mon,...,Sat) in a month of 30 days, thr probability is 1/7.
As there will be maximum 2 Mondays in that month, the answer is 2/7.

Like? Yes (3) | No

Jeevanantham.V.M 9 years AGO

Total no of day in a week is 7 and if a 30 days month have 5 days then month's first day should be sunday or monday so 2/7 is answer.

Like? Yes (3) | No

Rajat sadhu 9 years AGO

out of 30days 28 days contains 4 sun-days and the probability that in the remaining 2 days there is a sunday=2/7

Like? Yes (3) | No (1)

Tapash Dutta 9 years AGO

we may have two conditions that is Sun+Mon or Mon+Tue
so probability =2/7

Like? Yes (2) | No

anandhakumar 9 years AGO

to get 5 monday in a month,the month should start with monday .
we can get 5 monday only when first two days are monday,
so probability is 2/7
option 8

Like? Yes (3) | No (1)

sudhakar 9 years AGO

The any one week having 2 mondays

Then only we get 5 mondays in 30 days

Probability is 2/7

Like? Yes (3) | No (1)

selvakumar 9 years AGO

The answer is 2/7

Like? Yes (3) | No (1)

kumar aryan 9 years AGO

in a week of 7 days on 2days it occurs 5 times

Like? Yes (2) | No

Rahul Sah 9 years AGO

Max no. of weeks in a month=4 (28 days)
Remaining (30-28) 2 days can be either of the following combination :
1)Mon-Tue
2)Tue-Wed
3)Wed-Thurs
4)Thurs-Fri
5)Fri-Sat
6)Sat-Sun
7)Sun-Mon
Out of these 7 combination there are 2 such combination containing a Monday
Therefore the no of ways of selecting these 2 days out of the the 7 possible combination=2/7
Answer-option 8)

Like? Yes (3) | No (1)

Dharampal 9 years AGO

30/7=2days remaining.....in that 2days...(mon,tue),(tue,wed),(wed,thurs),(thurs,fri),(fri,sat),(sat,sun),(sun,mon)....so in these 7pair there are two mondays ....n(p)=2/7

Like? Yes (4) | No (2)

shruthi 9 years AGO

30 days has 4 weeks + 2 odd days. So we have 4 mondays and extra one monday can be obtained in 2 ways
S={ (s,m) (m,t) (t,w) (w,th) (th,fr) (fr,sat) (sat,s)}

Like? Yes (2) | No

sumit 9 years AGO

sample spaces are:
(sun,mon),(mon,tue),(tue,wed),(wed,thur),(thur,fri),(fri,sat),(sat,sun)
so required probability=2/7

Like? Yes (2) | No

MP 9 years AGO

It is possible only if 1st of the month is falling on Sunday or Monday out of 7 days of week.
so probability = 2/7

Like? Yes (2) | No

vartika 9 years AGO

there will be 5 mondays if the remaining 2 days be sun mon or mon tue, then probability= 2/7

Like? Yes (2) | No

GAURAV CHOUDHARY 9 years AGO

P(e) = n(e)/t(e)
= 2/7
Where n(e) = no of event occurred
t(e) = total no of events

Like? Yes (2) | No

santu ghosh 9 years AGO

30-28=2 days remaining
so the probability that in a month of 30 days there are 5 Monday is P(E)=2/7

Like? Yes (3) | No (1)

PURIDI MOUNIKA 9 years AGO

in 30 days normally we get minimum 4 mondays, because 30/7 gives coefficient as 4 and remainder=2.
in order to get 5th monday we have remaining two days.
for that probability is =(6+6)/(7*6)=2/7.

Like? Yes (4) | No (3)

K Sudhakar 9 years AGO

In month of 30 days, there will be 4 weeks(mon,tue,etc).. and we are left with 2 days which can be {sun,mon},{mon,tue},{tue,wed},{wed,thu},{thu,fri},{fri,sat}, and {sat,sun}..

therefore the probality of 5 mondays in a month will be 2/7

Like? Yes (1) | No

rohit sakhi 9 years AGO

It is possibal only if either 1st or 2 nd will be sunday so 2/7

Like? Yes (1) | No

himanshu priyadarshi 9 years AGO

only 2 ways when monday comes 5 times in a month i.e.
1 8 15 22 29
2 9 16 23 30
and total no. of ways of monday in month=7
probability= 2/7

Like? Yes (1) | No

chanish agarwal 9 years AGO

there are atleast 4 monday in a month 7*4=28
remaining days 30-28=2
so possibility of getting another monday is only 2 times either it could be (sun , mon) or (mon, tuesday)
and total no. of days are 7 in a week
so the probability is 2/7

Like? Yes (1) | No

prem kumar 9 years AGO

in 30 days to obtain 5 Mondays
the day should start with Monday or Sunday
so probability 2/7

Like? Yes (1) | No

deepak khurana 9 years AGO

1/7+1/7

Like? Yes (1) | No

vishal 9 years AGO

7*4=28 remaining 2 days are may be mon tues or sunday monday

Like? Yes (1) | No

kajol nigam 9 years AGO

30-28=2
possibilities are: SM MT TW WT TF FS SS
P=2/7

Like? Yes (1) | No

Ravi Bhalani 9 years AGO

30/7=2(remainder)
Remaining two days may be any of the following.
sunday & monday
monday & tuesday
tuesday & wednesday
wednsday & thursday
thursday & friday
friday & saturday
saturday & sunday
For having 5 mondays in a month one of the remaining two days must be monday.
So,2/7

Like? Yes (1) | No

Ranjan kumar 9 years AGO

for this the remaining 2 days of week(7 days) must have a monday

Like? Yes (1) | No

HARDIP BHALANI 9 years AGO

Like? Yes (1) | No

Harshad 9 years AGO

Like? Yes (1) | No

shahsanka 9 years AGO

4weeks =2 days 2*(1/7)=2/7

Like? Yes (1) | No

GAURAV BOHRA 9 years AGO

THAT WILL BE IN ONLY TWO CASE WHEN 1ST OF THE MONTH IS EITHER ON SUNDAY OR ON MONDAY ,FROM THE TOTAL OF SEVEN DAYS.
TOTAL NO OF FAVOURABLE OUTCOMES=2
TOTAL NO OF POSSIBLE OUTCOMES=7
HENCE THE PROBABILITY=2/7

Like? Yes (1) | No

PAWAN KUMAR 9 years AGO

In a month of 30 days, 28 days are for 4 weeks, so we are left with 2 extra days.
Also, the total no. of different days of a week is 7.
Therefore, probability = 2/7

Like? Yes (1) | No

Imran Mohammed 9 years AGO

obviously 28 days contains 4 mondays..
now we'll be left 2 days and the combinations can be (sun,mon),(mon,tue),(tue,wed),(wed,thu),(thu,fri),(fri,sat),(sat,sun)
among the 7 combintaions 2 pairs contain monday. hence the probability is 2/7

Like? Yes (1) | No

SAYAN CHATTERJEE 9 years AGO

in 28 days each of the 7 days will recur 4 times.
the remaining two days may be any of the 7 days.
so, probability of 5 Mondays in the week is 2/7. (8)

Like? Yes (1) | No

bathula praveena 9 years AGO

Total 30days lo 4 mndays cnfrm and remaining 2dayslo the possibility of being mnday is2/7

Like? Yes (1) | No

SUNITEE GARIMA 9 years AGO

Sample Space=(Sunday,monday);(monday,tuesday);(tuesday,wednesday);wednesday,thrusday);(Thrusday,Friday),(Friday,Saturday);(Saturday,Sunday)
n(S)=7
n(E)=2
P=2/7

Like? Yes (1) | No

sanjeev kumar 9 years AGO

30 day= (7*4)+2 day
the probability in last 2 day is 2/7

Like? Yes (1) | No

Rashmi bharti 9 years AGO

2/7 is the right answer.

Like? Yes (1) | No

HERSAL 9 years AGO

sample space=7
no of event=2
p=2/7

Like? Yes (1) | No

Pushpendra singh chundawat 9 years AGO

after 4 weeks , 2 days remaining in a month
so-2/7

Like? Yes (1) | No

sandeep singh 9 years AGO

since 30-(4*7)=2
so this 2 will come out of 7 days
so probability of being monday is 2/7

Like? Yes (1) | No

Deb Das 9 years AGO

Sunday&monday
monday & tuesday

so 2/7

Like? Yes (1) | No

Saravjeet Singh 9 years AGO

1st is monday or 2nd is monday then there are 5 monday..
thus 2 days out of i week
2/7

Like? Yes (1) | No

MRITUNJAY KUMAR 9 years AGO

option 8) 2/7.

Like? Yes (1) | No

ANAND KUMAR 9 years AGO

4 monday are fixed in 1st 28 days and for next tdays probability=2/7

Like? Yes (1) | No

suman kumar 9 years AGO

30days ....
in a week-7 days
4week -28 days-4 monday
so, in rest 2 days probability of monday =2/7.

Like? Yes (1) | No

Vinoth Kumar 9 years AGO

If a month of 30 days have 5 mondays then either the first day or the second day of the month should be a monday.Since a week has 7 days and there are two possibilites for the event to occur;the probability is 2/7.

Like? Yes (1) | No

Vanika 9 years AGO

there will be 4 mondays in 28 days
so probability will be = 2/7

Like? Yes (1) | No

Jasmita Parmar 9 years AGO

Obviously there will be 4 Mondays in the month of 30 days because 7 * 4 = 28 .
Here 30 - 28 = 2 days remaining

The remaining 2 days can have anyone combination out of this.

sun-mon , mon-tue , tue-wed ,wed-thu , thu-fri , fri-sat , sat-sun

so there are total 7 combinations and out of this 2 combinations have Monday in it.

so probability of having 5 Monday in the month of 30 days is P(E) = 2 / 7

Like? Yes (1) | No

raj ranjan verma 9 years AGO

last 2 days after 4 weeks can be
sun-mon,
mon-tue,
tue-wed,
wed-thur,
thur-fri,
fri-sat,
sat-sun
out of these mon occurs 2 times out of 7
so, prob. of occuring mon 5 times will be 2/7

Like? Yes (1) | No

Rahul Rathod 9 years AGO

There are 30 days.
so 4 monday in 28 days.
and remianing days=2
so probability=2/7

Like? Yes (1) | No

Stephen Reji 9 years AGO

There are two ways in which Monday arrives.
(Sunday,Monday),(Monday,Tuesday)

Like? Yes (1) | No

Rajat Rokade 9 years AGO

there are 7 possibilities of a perticular day to come 5 times and twice it can contain monday.

Like? Yes (1) | No

Tark Patel 9 years AGO

In 30 days month 5 monday will occur only on if 1st date of month is starting from sunday or monday.
So these are only 2 possibilities and total 7 days
Hence probability of 5 monday in 30 days month is 2/7 .

Like? Yes (1) | No

ashok 9 years AGO

30=7*4+2
so at-least 7 times all every days will come
remaining 2 days
there are 7 possible combinations of 2days-
1.sun-MON
2.MON-tue
3.tue-wed
4.wed-thu
5.thu-fri
6.fri-sat
7.sat-sun

so there are 2 cases out of all possible 7 where monday will come

so probability=2/7

Like? Yes (1) | No

Ajay Kumar Gupta 9 years AGO

any 30 day month have 4 mondays i.e 28 days are full rest 2 days are vacent . Therefore the probability is 2/7.

Like? Yes (1) | No

swarup kumar prusti 9 years AGO

there are 2 cases when monday start from 1 0r 2.

Like? Yes (1) | No

Urvashi Jain 9 years AGO

assume total days in a month is 30
4 mondays are sure in 28 days means 4 weeks
30-28=2
so the possible monday are 2/7

Like? Yes (1) | No

Dipak Singh 9 years AGO

28 days for normal 4 mondays.
rest 2 day (30-28=2) to have a probabilty to be a monday is=2/7
hence, 2/7 is the answer.

Like? Yes (1) | No

MANU 9 years AGO

in a 30(4 week) days month 2 days are remaining so P=2/7

Like? Yes (1) | No

Enukonda Ramakrishna 9 years AGO

(1*6c1)/7c2

Like? Yes (1) | No

Proloy Mukherjee 9 years AGO

30%7=2
2/7

Like? Yes (1) | No

RANJAN KUMAR PANDIT 9 years AGO

because 30-7*4=2 daye remaining
so probability = 2/7

Like? Yes (1) | No

Tania Chatterjee 9 years AGO

1-8-15-22-29
or
2-9-16-23-30
So, only 2 times it can happen out of 7 days i.e.P(M)=2/7

Like? Yes (1) | No

yagnik pandya 9 years AGO

Only in Sunday n monday no. Of monday is 5. Otherwise 4.
2/7

Like? Yes (1) | No

Harsh Poddar 9 years AGO

30 days
4 mondays confirm of 28 days
next 2 days outcome=
mon-tue
tue-wed
wed-thu
thu-fri
fri-sat
sat-sun
sun-mon
2 mondays possible outcome of 7 total outcome
probablity=2/7
option 8

Like? Yes (1) | No (1)

RAKESH 9 years AGO

30 = 4*7 + 2

if month starts from Sunday or Monday then there are 5 Monday
p = 2/7

Like? Yes (2) | No (2)

chandan sharma 9 years AGO

there will be 4 weeks consisting of 28 days and 4 mondays.of the remaining 2 days we can have 2 combination (sun-mon and mon-tue) out of total of seven combination.therefore probability will be 2/7.

Like? Yes (3) | No (3)

krishna kanth 9 years AGO

for 28 days we get 4 mondays
next 2 days may be (sun,mon) or (mon,tue) among 7 possibilities
so probability is 2/7

Like? Yes (1) | No (1)

Shashi nath jha 9 years AGO

2|7 ans

Like? Yes (1) | No (1)

DEEPAK SINGHAL 9 years AGO

BECOZ IN A A MONTH ON 30 DAYS EVERY DAY COMES 4 TIMES NECESSARY BUT THE PROBABLITY OF 5 MAONDAY .. THERE ARE TWO DAYS REMAINING AND TOTAL DAYS 7
SO PROB=2/7

Like? Yes (1) | No (1)

KAUSHAL KUMAR 9 years AGO

Probability= no of days left/no of days un a week
=2/7

Like? Yes (1) | No (1)

Md.Sultan Khichi 9 years AGO

1st and 2nd date of the month should v started at Mon..for 5 Mon in the month..there is only 2 possible way..total no. of days are 7..so the probability is
2/7..
Ans..2/7..

Like? Yes (1) | No (1)

S.SHAFI 9 years AGO

For 4 weeks of 28 days, 4 mondays will come..
Remaining 2 days, 1 monday will have the probability of 2/7.

So, the option is 8..

Like? Yes (1) | No (1)

Aakash Jain 9 years AGO

only two possibility if starting day of month is sunday or monday so ans is 2/7

Like? Yes (1) | No (1)

Manikumar R 9 years AGO

the month will have 5 sundays if it started on saturday or sunday so the probability is 2/7

Like? Yes (1) | No (1)

Mrityunjay 9 years AGO

we can have 5 monday in a month only if the month starts with monday or sunday, as in 4 weeks 4 mondays are for sure
so the probability becomes =no. of events/no. of days
=2/7

Like? Yes (1) | No (1)

NAVEEN KUMAR 9 years AGO

30 days=4weeks+2days
so, in 4 week 4 monday come .
In last two days .
{sun,mon}or(mon,tue}or{tue,wed}or,{wed,thu}or,{thu.fri},or{fri,sat},or{sat,sun}
so, there are two possiblities to come monday in seven possiblities so probability=2/7

Like? Yes (3) | No (3)

T.VIGNESWARA REDDY 9 years AGO

4 weeks completed in 28 days so 4 mondays is completed
So remaining 2 days have a chance of monday is 2 ways i.e sun,mon or mon tue

Like? Yes (1) | No (1)

abhik k. dey 9 years AGO

as in a week there are 7 days.
so in 30 days of a month there are 4 full week+2 extra day.
the 2 extra day will be(sunday, monday),(monday,tuesday),(tuesday,wednesday),..... and so on..
so there are total 7 chance to come 2 day consecutive. but we have to find five monday. so 4 wk= 4 mon day and extra 1 will come from these seven probable pair.
so probability of 5 monday will be 2/7............................ans

Like? Yes (1) | No (1)

Tapobrata Banerjee 9 years AGO

there will be 4 mondays in 28 days...so in remaining 2 days there can be following 7 combination of days,i.e. sun-mon,mon-tue,tue-wed,wed-thurs,thurs-fri,fri-sat,sat-sun.so,there are 7 combinations out of dem 2 can be monday.
so, the probability is 2/7
ANS 8

Like? Yes (1) | No (1)

DIPAK TIWARI 9 years AGO

For 5th Monday the last two days(29th,30th) will have combinations of sautrday-sunday & sunday-monday from sautrday-sunday, sunday-monday, monday-tuesday,Tuesday- Wednesday,Wednesday- thrusday,thrusday-friday,friday-sautrday.
Hence probability=2/7
Option 8

Like? Yes (1) | No (1)

Dark Knight 9 years AGO

1/7+1/7=2/14

Like? Yes (1) | No (1)

Arijit Acharyya 9 years AGO

n(E)=2 {(sun,mon),(mon,tue)}
n(S)={(sun,mon),(mon,tue),(tue,wed),(wed,thu),(thu,fri),(fri,sat),(sat,sun)}
P(E)=n(E)/n(S)=2/7
option 8)

Like? Yes (1) | No (1)

Anurag 9 years AGO

since there are 2 odd days in 30 days
the 2 days can be Sun Mon or Mon Tue or Tue Wed or Wed Thu or Thu Fri or Fri Sat or Sat Sun

thus the probability of occurrence of mon will be 2/7

Like? Yes (1) | No (1)

Pranoy Bej 9 years AGO

for 4 mondays in a month of 30day probability will be 1
for the remaining 2days combination will be
sum-mon
mon-tue
tue-wed
wed-fri
fri-sat
sat-sun

so probability will be = 2/7

Like? Yes (1) | No (1)

LOKESH SAMANT 9 years AGO

26 AUG 2014 : Probability

Like? Yes (1) | No (1)

pushpa 9 years AGO

30 days means 4 weeks n 2 days
4 weeks means we hv 4 mondy already

n rest two days can b
1(sundy,mondy)
2(mondy,tusdy)
3(tusdy,wednsdy)
4(wednsdy,thursdy)
5(thursdy,fridy)
6(fridy,satrdy)
7(satrdy,sundy)

so for d 5th mondy
we hv 2 probablity out of 7
n answr is 2/7

so for 5 mondy in this week we

Like? Yes (1) | No (1)

Shikha 9 years AGO

A month of 30 days contain 4 full weeks (7*4=28) and 2 extra days which may be(sun,mon) (mon,tue) (tue,wed).(wed,thu) (thu,fri) (fri,sat)(sat ,sun)
so,P(getting 5th monday)=2/7

Like? Yes (1) | No (1)

teja srinivas 9 years AGO

there are 4 weeks 4 mondays will come there after there are 2 days left therefore probabailty is 2 in 7 days
i..e 2/7

Like? Yes (1) | No (1)

sadaq vali 9 years AGO

30 days = 4 weeks 2 days

For 2 days chances to become Monday n(m)= 2

Probability p(m)= 2/7

Like? Yes (1) | No (1)

Venkateswarlu 9 years AGO

If the month either start with monday , or sunday in the week,there will be 5 mondays.

====>>2/7

Like? Yes (1) | No (1)

ADARSH GAURAV 9 years AGO

2/7 is the ans

Like? Yes (1) | No (1)

Nitin Srivastava 9 years AGO

as only last 2 days ie 29 and 30 is responsilble for 5 monday
ie sunday and monday
monday and tuesday
and total number of combination of 2 days ar 7
so probability is 2/7

Like? Yes (2) | No (2)

vikash kumar 9 years AGO

2/7 is the ans

Like? Yes (2) | No (2)

MUKESH YADAV 9 years AGO

there will be surely 4 monday,4tue,4wed,4thu,4fri,4sat,4sun in 28 days...remaining 2 days and total days in a week is 7 then probability will be 2/7..

Like? Yes (1) | No (1)

gurneet singh 9 years AGO

there are $weeks which complete one month+2 additional days...
these days can be sunday& Monday OR monday& tusesday..

Like? Yes (1) | No (1)

Saroj kumar 9 years AGO

P=no of Mon/no of total days
P=2/7

Like? Yes (1) | No (1)

Varunraj Reddy 9 years AGO

2 odd days in a month of 30 days.
So the probability getting 5 Monday is 2/7.

Option 8)

Like? Yes (1) | No (2)

Utkarsh 9 years AGO

out of 30 days there are 4 complete weeks (28 days) having 4 mondays. So now left with 2 days
favourable outcomes are
- Sunday and Monday
- Monday and Tuesday

probability= fav. events/total event

here fav. event=2
total event=7
therefore, 2/7 must be the ans.

Like? Yes (2) | No (3)

nisha kumari singh 9 years AGO

ina a month of 30 daysthere are total of 4 weeks except remaining 2 days.
(sunday ,monday),(monday,tuesday),(tuesday,wednesday),(wednesday,friday),(friday,saturday),(saturday,sunday).
for the month to be of 5 mondays ,these 2 days can be any of the first two combination.
therefore probability=2/7

Like? Yes (1) | No (2)

suman kumar 9 years AGO

In a month of 30 days....4 mon is sure in 4 weeks....so we have 2 more days
if the month start with sunday, then it will contain 5 mon
and if month start with monday then also it will contain 5 mon,
so the probability becomes =no. of events/no. of days
=2/7

Like? Yes (1) | No (3)

ARKAJIT NANDY 9 years AGO

30=7*4+2
so 4 complete weeks i.e. 4 Mondays and an incomplete week of 2 days.
in 7 days week the probability of the day will be Monday in those 2 days will be=2/7

Like? Yes (1) | No (3)

tendulkar 9 years AGO

for having five mondays the moth should end up with either monday or tuesday
there are 7 days a week and the probabikity of getting two days out of 7 days is 2/7
hence the probability of getting 5 mondays a month is equal to probability of getting two days out of 7 days
therefore the answer is 2/7

Like? Yes (1) | No (3)

posirajesh 9 years AGO

28 days 4 Monday
Remaining either Mon,Tue or sun,Mon
Hence 2/7 is probability

Like? Yes (1) | No (3)

yatish kumar sharma 9 years AGO

problity will be 2/7

Like? Yes (1) | No (4)

Dimple

India

Punjab

Time: 00:01:33

Points

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What will be the probability that in a month of 30 days there are 5 Monday.

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