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A and B seek admission in I.I.T. The probability that A is selected is 0.5 and the probability that both A and B are selected is atmost 0.3. The probability of B getting selected is atmost is

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0.5

0.6

0.7

0.8

answer is D.

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Detailed Solution

$P (A) = 0.5 P (A \cap B) \leq 0.3$

$n o w P (A \cup B) \leq 1$

$\Rightarrow P (A) + P (B) - P (A \cap B) \leq 1$

$\Rightarrow P (B) \leq 0.8$

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