Statistics And Probability Question 102

Question: Amar, Bimal and Chetan are three contestants for an election, odds against Amar will win is 4 : 1 and odds against Bimal will win is 5 : 1 and odds in favor of Chetan will win 2 : 3 the what is probability that either Amar or Bimal or Chetan will win the election.

Options:

A) $ 23/20 $

B) $ 11/30 $

C) $ 7/10 $

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

[d] From the given information probability that Amar will win the tournament is $ P(A)=1/5 $ and Bimal will win is $ P(B)=1/6 $ and same for Chetan is $ P(C)=2/5. $ Since these events are mutually exclusive, the total probability of any one of them winning is the sum of their individual probabilities.



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