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A die is thrown three times. Find P(A//B...

A die is thrown three times. Find `P(A//B)` and `P(B//A),` if `A=4` appears on the third toss, `B=6` and `5` appear respectively on first two tosses.

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We have,
`A={(1,1,4),(1,2,4),(1,3,4),(1,4,4),(1,5,4),(1,6,4),(2,1,4),`
`(2,2,4),(2,3,4),(2,4,4),(2,5,4),(2,6,4),(3,1,4),(3,2,4),(3,3,4),`
`(3,4,4),(3,5,4),(3,6,4),(4,1,4),(4,2,4),(4,3,4),(4,4,4),(4,5,4),`
`(4,6,4),(5,1,4),(5,2,4),(5,3,4),(5,4,4),(5,5,4),(5,6,4),(6,1,4),` ...
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