Question

If E and F are two independent events such that P(E) = `2/3`, P(F) = `3/7`, then `P(E//barF)` is equal to ______.

Options

• `1/6`

• `1/2`

• `2/3`

• `7/9`

Answer 1

If E and F are two independent events such that P(E) = `2/3`, P(F) = `3/7`, then `P(E//barF)` is equal to `bbunderline(2/3)`.

Explanation:

P(E) = `2/3`, 

P(F) = `3/7`

`P(E//barF) = ((P(E ∩ barF))/(P(barF)))`

= `(P(E) xx P(barF))/(P(barF))`   ...(∵ E and F are independent events)

= `P(E)    ...[(P(E ∩ barF) = P(E).P(barF)]`

= `2/3`