Question

If pa =1/3 and pb =2/5 and p(ab) = 3/5 what is p(ab)

Answer 1

Given:

`P(A)=(1)/(3)\text{ ; P(B)=}(2)/(5)\text{ ; P(A}\cup B)=(3)/(5)`
`P(A\cup B)=P(A)+P(B)-P(A\cap B)`
`\begin{gathered} (3)/(5)=(1)/(3)+(2)/(5)-P(A\cap B) \\ P(A\cap B)=(1)/(3)+(2)/(5)-(3)/(5) \\ P(A\cap B)=(5+6-9)/(15) \\ P(A\cap B)=(2)/(15) \end{gathered}`

Option D is the final answer.