Question

P(A) = 3/4P(B) = 1/3If A and B are independent, what is P(A n B)?9/125/121/413/12

Answer 1

If A and B are independent events, then:

`P(A\cap B)=P(A)\cdot P(B)`

Then, we have:

`\begin{gathered} P\mleft(A\mright)=(3)/(4) \\ P\mleft(B\mright)=(1)/(3) \\ P(A\cap B)=P(A)\cdot P(B) \\ P(A\cap B)=(3)/(4)\cdot(1)/(3) \\ \boldsymbol{P(A\cap B)=(1)/(4)} \end{gathered}`

Therefore, if A and B are independent events, the probability of their