A fair coin and an in biased die are tossed. Let A be the event head appears on the coin and B be the event 3 one the die. Check whether A and B are independent event or not.

Explanation

The sample space `S`, when a fair coin and an unbiased die are tossed, is given by,

`S={(H,1),(H,2),(H,3),(H,4),(H,5),(H,6),(T,1),(T,2),(T,3),(T,4),(T,5),(T,6)}`

Now, it is given that `A` stands for "head appearing on the coin", i.e.,

`A={(H,1),(H,2),(H,3),(H,4),(H,5),(H,6)}`

Here, total number of outcomes`=12`

So, `P(A)=6/12`

`=>P(A)=1/2`

Also given, `B` stands for "3 appearing on the die", i.e.,

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