Mother father and son line up at random for a family picture. If A and B are two events given by `A=` Son on one end, B=Father in the middle, find `P(A//B)` and `P(B//A)dot`

Explanation

The sample space for Mother`(M)`, Father`(F)`, and Son`(S)` lining up at random for a family picture is,

`S={(MFS),(MSF),(FMS),(FSM),(SFM),(SMF)}`

Then, `n(S)=6`

It is given that `E` stands for "son standing on one end", i.e.,

`E={(SMF),(SFM),(MFS),(FMS)}`

Also, given that `F` stands for "father standing in the middle", i.e.,

`F={(MFS),(SFM)}`

Then, `n(F)=2`

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