Question

Given that events A and B are independent with P(A) = 0.86 andP(B|A) = 0.75, determine the value of P(B), rounding to the nearestthousandth, if necessary.B.Answer:Submit Answerattempt 2 out of 2Privacy Policy Terms of Service

Answer 1

P(B/A) is the probability of B if A occurs. And this is given as

`\begin{gathered} P\mleft(B/A\mright)=(P(A\cap B))/(P(A)) \\ \\ \text{From the question } \\ P(B/A)=0.75,\text{ }P(A)=0.86 \\ 0.75=(P(A\cap B))/(0.86) \\ \\ P(A\cap B)=0.75*0.86=0.645 \\ P(A\cap B)=P(A)* P(B) \\ 0.645=0.86* P(B) \\ P(B)=(0.645)/(0.86) \\ \\ P(B)=0.75 \end{gathered}`