Two dice are thrown. Find the probability of getting an odd number on the first die and a multiple of 3 on the other.

Explanation

`A=` Getting an odd number on first die

`B=` Getting a multiple of 3 on second. die.

`A={1,3,5}` and `B={3,6}`

`P(A)=frac{3}{6}=frac{1}{2}` and `P(B)=frac{2}{6}=frac{1}{3}`.

Requised probability `=P(A cap B)`


`=P(A) P(B)`

`=frac{1}{2} times frac{1}{3}=frac{1}{6}` [A and B are independent events]

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