Find the probability of getting a t...
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Find the probability of getting a total greater than 9 four times, in five throws of a pair of fair six-faced dice.

JEE/Engineering Exams
Maths
Solution
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Probability of getting a stum greation thon 9 in 1 throw of pair of dise. is unur we gel [ (4,6) ;(6,4),(5,5)=frac{3}{36}=frac{1}{12} ] Now succan have 5 cases Casel : sum less than 9 in 1 st throw Fo each case proot. is ( left(frac{1}{12}right)^{4} times frac{11}{12} ) So total probability ( =5 timesleft(frac{1}{12}right)^{4} timesleft(frac{11}{12}right) ) [ =frac{55}{12^{5}} ]
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