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A pair of dice is thrown. Find the probability of getting a sum of at least 9 if 5 appears on at least one of the dice.

Answer»

Solution :A PAIR of DICE is thrown. LET A be the event of GETTING at least 9 POINT and B, the event that 5 appears on at least one of the dice.
`therefore` B={(1,5),(2,5),(3,5),(4,5),(5,5),(5.6),(5,1),(5,2),(5,3),(5,4),(5,6)}
A={(3,6),(4,5),(5,4),(6,3),(4,6),(5,5),(6,4),(5,6),(6,5),(6,6)}`therefore A capB`={(4,5),(5,4),(5,5),(5,6),(6,5)
`thereforeP(A|B)=P((A capB))/(P(B))=(5/36)/(11/36)=5/11`


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