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  • State whether the statements are True or False 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 p

State whether the statements are True or False

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?

Answers (1)

Let us consider that,

E1 → event that A is selected in engineering college

E2 → event that B is selected in engineering college

We have,

P (E1) = 0.5

& P (E2) = 0.7

P (E1 ∩ E2) ≤ 0.3

Thus,

0.5 x P (E2) ≤ 0.3

P (E2) ≤ 0.6

But, we know that,

P (E2) = 0.7

Thus, the given statement is False.

Posted by

infoexpert22

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