Question

Suppose A and B are dependent events. If P(ATB) - 0.55 and P(B) - 03, what isP(ANB)?A. 0.11B. 0.275C. 0.22D. 0.165

Answer 1

`P(A\cap B)=\text{0}165`

Explanation:

The events that their probability of occurring is affected by other events are called DEPENDENT events.

If A and B are dependent then the probability of both occurring is represented as:

`P(A\text{ and B)=P(B)}\cdot P(A|B)`

Therefore,

`\begin{gathered} P(A\cap B)=\text{0}.3\cdot0.55 \\ P(A\cap B)=\text{0}.165 \end{gathered}`