Latest TCS Aptitude Question SOLUTION: Two people, Ranbir and Katrina decide to meet at a a beach between 1 pm to 2 pm, given that both will surely turn up once in the given time frame. If Ranbir arrives, he waits for 1

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(#M40033810) TCS Numerical Ability question Keep an EYE

Two people, Ranbir and Katrina decide to meet at a a beach between 1 pm to 2 pm, given that both will surely turn up once in the given time frame. If Ranbir arrives, he waits for 15 minutes and then leaves feeling betrayed and similarly Katrina waits for 15 minutes after she arrives. So what's the probability that they meet?

Asked In TCS Tejasree (10 years ago)

Unsolved Read Solution (17)

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Read Solution (17) :

Rahul Singh  (10 years ago)

Total cases=60
Favourable cases=15
Prob=15/60=0.25

Is this solution Helpfull? Yes (38) | No (1)  

Pratik sharma  (9 years ago)

I think answer is :7/16
because probability that ranbir will not meet is 45/60=3/4
same for katrina i.e 3/4

so probability that they will meet is:
1-[(3/4)*(3/4)]=7/16

If i am wrong provide correct answer

Is this solution Helpfull? Yes (21) | No   

Manish Sharma  (10 years ago)

waiting time of both katrina and runbir is 15 min. Means they can meet only meet each other in 15 Min. , if they 1 more min. than they can't meet each other .. so chances of meeting in only(Favourable event )=15 min
Total no. of min.(Sample space)= 60 min
Probability of Meeting is =(Favourable event)/(Sample space)
15/60=0.25 ans.

Is this solution Helpfull? Yes (18) | No (3)  

aditi bose  (10 years ago)

Case-I: A arrives first
If A arrives in the interval 12:00 to 12:45, then B must arrive within 15 minutes of A’s arrival. The probability of meeting can be found out by considering double definite integral, with limits (0 to 45) and (x to x+15). The probability density for each A and B is 1/60 and 1/60 respectively. By considering these probability densities and finding out the integral under the above-mentioned limits, we get the probability in this part as 3/16.
If A arrives in the interval 12:45 to 13:00, then B must arrive before 13:00. The probability of meeting can be found out by considering double definite integral, with limits (45 to 60) and (x to 60). By considering the probability densities (1/60 and 1/60 for each A and B) and finding out the integral under the above-mentioned limits, we get the probability in this part as 1/32.
Summing up the two parts, the probability in the Case-I = 3/16 + 1/32 = 7/32
Case-II: B arrives first
Going by the same logic as mentioned in the Case-I, we get
Probability in the Case-II = 7/32
Summing up the two cases, the probability = 7/32 + 7/32 = 7/16

Is this solution Helpfull? Yes (14) | No (11)  

shashank tiwari  (10 years ago)

when ranbir has left feeling betrayed....how they gonna meet...??? its 0..

Is this solution Helpfull? Yes (6) | No (2)  

Ayan Saha  (10 years ago)

7/16.Probability

Is this solution Helpfull? Yes (5) | No (5)  

Ankit Gupta  (10 years ago)

0.5 is the probability

Is this solution Helpfull? Yes (4) | No (3)  

rajat bhatnagar  (9 years ago)

answer is --> 1/4*1/4=1/16

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saksham joshi  (10 years ago)

7/16
1-45/60*45/60

Is this solution Helpfull? Yes (2) | No (2)  

Aruna  (9 years ago)

They can meet only once in 15 minutes
time interval between 1pm to 2pm is 60
15/60=1/4

Is this solution Helpfull? Yes (2) | No   

Vamsee  (10 years ago)

0.25 is the probability.

Is this solution Helpfull? Yes (1) | No (4)  

Deepak khera  (10 years ago)

how? ankit

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dipankar  (9 years ago)

0.5 is the sulution....

Is this solution Helpfull? Yes (1) | No (2)  

Priyanka R Gulhane  (9 years ago)

25487945 hsgudyghuj

Is this solution Helpfull? Yes | No (1)  

YEKOLLA.SAIKRISHNA REDDY  (9 years ago)

(total time)2-(time conditioned)2/(total time)2=(60)2-(15)2/(60)2

meaning:(a)2==a^2

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Rajanikanta Pradhan  (8 years ago)

Prob meet =
( Total time^2 - unfavtime ^2)/ total time ^2
Here unfav time means ranbir wait 15 mint
Katrina wait 15 mins so unifav is 30 minit
Total time= 1pm to 2pm =60 min

So soln
(60^2 + 30^2)/ 60^^2
=3/4

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arpita singh  (6 years ago)

15/60+15/60=1/2 = .50

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