An unbiased die is thrown twice. Let the event A be "odd number on the first throw" and B the event "odd number on the second throw". Check the independence of the events A and B.

Explanation

`P(A)=frac{18}{36}=frac{1}{2}` and `P(B)=frac{18}{36}=frac{1}{2}`



Here ,` P(A cap B)=P`( odd number on both throws )

`

=frac{9}{36}=frac{1}{4}`

`

P(A) . P(B)=frac{1}{2} times frac{1}{2}=frac{1}{4}`


We see that,` {P}({A} cap {B})={P}({A}) times {P}({B})`


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