Given that A and B are two events such that P (B )= 35 , P ( AB )= 12 and P (A ∪B )= 45, then P (A )=

Question

Accepted Answer

Correct answer: B. (b) : We have, P ( AB )= 12 ⇒ P (A ∩B )P (B )= 12 ⇒ P (A ∩B )3/5= 12 ⇒P (A ∩B )= 310 Now, P (A ∪B )=P (A )+P (B )-P (A ∩B ) ⇒ 45=P (A )+ 35- 310 ⇒P (A )= 12

$Given that A and B are two events such that P (B) = \frac{3}{5}, P (\frac{A}{B}) = \frac{1}{2} and P (A \cup B) = \frac{4}{5}, then P (A) =$

Solution

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