Latest TCS Aptitude Question SOLUTION: For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with

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(#M40000418) TCS Logical Reasoning question Keep an EYE

For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning.
Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?

Asked In TCS S.RAMESH REDDY (13 years ago)

Solved Sudha Read Solution (8)

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Read Solution (8) :

Sudha  (13 years ago)

pbty of winnin+pbty of losin= (2/3)*(2/3) +(1/3)*(1/3)
=4/9 +1/9
=5/9

Is this solution Helpfull? Yes (59) | No (4)  

ravikumar  (13 years ago)

chance 0f A wins = 2/3
prediction of octopus is also = 2/3(given in ques)
chance of b wins = 1/3
octopus prediction = 1/3
2/382/3 = 1/381/3 = 5/9

Is this solution Helpfull? Yes (32) | No (9)  

Tijo Jose  (13 years ago)

5/9

Is this solution Helpfull? Yes (12) | No (11)  

P.SWETHA  (10 years ago)

total probability is either if Ghana wins then Bolivia loses or if Bolivia wins Ghana loses.so,
total probability=[[p(Ghana win's]*p[Bolivia loses]]+[[p(Bolivia win's]*p[Ghana loses]].
=[(2/3*1/3)+(1/3*2/3)]=4/9.

Is this solution Helpfull? Yes (8) | No (3)  

Kartik umalkar  (8 years ago)

So Paul predicts the team with same probability , as the chances of the team winning (given).
Probability of Ghana winning is 2/3 (given).
As per the above two statements above the probability of Paul correctly predicting i,e the probability of Paul picking ghana and Ghana winning will be 2/3*2/3=4/9.
On same lines that of Ghana is 1/3*1/3=1/9.
Now probability of Paul correctly predicting result is= probability of Paul correctly predicting Ghana+ probability of Paul correctly predicting Bolivia=4/9+1/9=5/9
Ans-5/9

Is this solution Helpfull? Yes (7) | No   

kumar abhinandan  (13 years ago)

2/3 as it is given in the answer that the paul selects the team with the same probability in which the team will win...

Is this solution Helpfull? Yes (4) | No (38)  

subhashis  (9 years ago)

tot prob=octo chooses correct+octo chooses wrong
=2/3*2/3+1/3*2/3=6/9
correct ans chos by octo=2/3*2/3=4/9
prob=4/6=2/3.

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priyanka  (9 years ago)

Ans is 5/9

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