A coin is tossed three times. Find `P(A//B)` in each of the following: `A=` Heads on third toss, B=Heads on first tow tosses `A=` At least two heads, B=At most two heads `A=` At most two tails, B=At least one tail.

Explanation

The sample space `S` when a coin is tossed three times is,

`S={(H,H,H),(H,H,T),(H,T,H),(H,T,T),(T,H,H),(T,H,T),(T,T,H),(T,T,T)}`

Here, the number of elements in the sample space `S` is,

`n(S)=6`

`(i)` `E` stands for "Head on third toss", i.e.,

`E={(H,H,H),(H,T,H),(T,H,H),(T,T,H)}`

And, `F` stands for "heads on first two tosses", i.e.,

`F={(H,H,H),(H,H,T)}`

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