Question

Suppose A and B are dependent events. If P(AIB) - 0.55 and P(B)-02, what isP(AB)?A. 0.22B. 0.11C. 0.165D. 0.275

Answer 1

P(AIB) =0.55

P(B)=0.2

A and B are dependent events.

applying the rule of Conditional Probability:

$P\text{ ( A|B ) = }\frac{P\text{ ( A }\cap\text{ B)}}{P(B)}$$0.55\text{ = }\frac{P(A\cap\text{ B)}}{0.2}$$0.55\text{ (0.2) = P (AB)}$$0.11\text{ = P (AB)}$

So, correct answer is B. 0.22