Question

Given that P(B|A)=0.76 and P(A)=0.46, what is P(B AND A)? Round to three decimal places.

Answer 1

Given;

`P(B|A)=0.76,P(A)=0.46`

Thus, the probability of B and A can be calculated using the formula;

`\begin{gathered} P(B\text{ and }A)=P(B|A)* P(A) \\ \\ P(B\text{ and }A)=0.76*0.46 \\ \\ P(B\text{ and }A)=0.3496 \\ \\ P(B\text{ and }A)\approx0.350 \end{gathered}`

ANSWER:

`P(B\text{and}A)=0.350`