Question

Hey, can you let me know if I have the correct answer, and if not, what’s the right answer? It’s for an assignment I had; thanks in advance

Answer 1

P(A∩B)= P(A/B)P(B)

Step-by-step explanation:

A relationship for a conditional probability of two events A and B is:

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

Therefore, if we multiply both sides by P(B), we get:

`\begin{gathered} P(\text{ A/B)P(B)=}(P(A\cap B))/(P(B))P(B) \\ P(\text{A/B)P(B)}=P(A\cap B) \end{gathered}`

So, the answer is:

P(A∩B)= P(A/B)P(B)