JEE Mains · Maths · STD 12 - 13. probability
The probabilities that players \(A\) and \(B\) of a team are selected for the captaincy for a tournament are \(0.6\) and \(0.4\), respectively. If \(A\) is selected the captain, the probability that the team wins the tournament is \(0.8\) and if \(B\) is selected the captain, the probability that the team wins the tournament is \(0.7\). Then the probability, that the team wins the tournament, is :
- A \(0.74\)
- B \(0.76\)
- C \(0.72\)
- D \(0.78\)
Answer & Solution
Correct Answer
(B) \(0.76\)
Step-by-step Solution
Detailed explanation
Let \(A\) be the event that player A is selected as captain, and \(B\) the event that player B is selected as captain. Let \(W\) be the event that the team wins the tournament. Given: \(P(A) = 0.6\), \(P(B) = 0.4\) \(P(W \mid A) = 0.8\), \(P(W \mid B) = 0.7\) By the law of total…
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