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A box contains 100 tickets numbered 1,2,...

A box contains 100 tickets numbered `1,2,3......100`. Two tickets are chosen at random. It is given that the maximum number on the two chosen tickets is not more than 10. The minimum number on them is 5, with probability

Text Solution

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The correct Answer is:
A
Let A be the event that the maximum number on the two chosen tickes is not more than 10, and B be the event that the minimum number on them is 5
`:." "P(AnnB )=(""^(5)C_(1))/(""^(100)C_(2))`
and `" "P(A)=(""^(10)C_(2))/(""^(100)C_(2))`
Then `" "P((B)/(A))=(P(AnnB))/(P(A))`
`=(""^(5)C_(1))/(""^(10)C_(2))=(1)/(9)`
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