A dice is thrown once. If `E` is the event of getting a multiple of 3 and F is the event of getting an even number, then find whether E and F are independent or not?

Answer

N/a

Explanation

In one throw of a dice, the sample space
`S={1,2,3,4,5,6}`
`E={3,6}`
`F={2,4,6}`
`:.EnnF={6}`
`P(E)=2/6=1/3,P(F)=3/6=1/2` and `P(EnnF)=1/6`
`:'P(E).P(F)=P(EnnF)`
`:.` E and F are independent events.