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Question
If A and B are two candidates seeking admission in an engineering College. The probability that A is selected is .5 and the probability that both A and B are selected is at most .3. Is it possible that the probability of B getting selected is 0.7?
Options
True
False
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Solution
This statement is False.
Explanation:
Given that P(A) = 0.5 and P(A ∩ B) ≤ 0.3
Now P(A) × P(B) ≤ 0.3
⇒ 0.5 × P(B) ≤ 0.3
⇒ `P(B) ≤ 0.3/0.5`
⇒ P(B) ≤ 0.6
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