State whether the statements are True or False.If A and B are two cand

1.	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?
Answer» False Given that, P(A ) = 0.5, P(A ∩B)< 0.3 Now, P(A) x P(B) ≤ 0.3 =>0.5 x P(B) ≤0.3 => P(B) ≤0.6 Hence, it is false statement

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?

Answer»

False

Given that, P(A ) = 0.5, P(A ∩B)< 0.3

Now, P(A) x P(B) ≤ 0.3

=>0.5 x P(B) ≤0.3

=> P(B) ≤0.6

Hence, it is false statement

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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 probability of B getting selected is 0.7?

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