Question

P(A)=0.45P(B)=0.65P(A or B)=0.85Find P(A and B).Round your answer to two decimal places.

Answer 1

Given:

$\begin{gathered} P(A)=0.45 \\ \\ P(B)=0.65 \\ \\ P(PorB)=0.85 \end{gathered}$

Required:

To find the P(A and B).

Explanation:

The formula for P(A and B) is

$\begin{gathered} P(AandB)=P(A)\times P(B) \\ \\ =0.45\times0.65 \\ \\ =0.2925 \\ \\ \approx0.29 \end{gathered}$

Final Answer:

P(A and B) = 0.29