Question

The number of a,b are chosen from set of {1,2,3,....,10} such that a<_b with replacement.the probability that a divides b is

Answer 1

Answer:

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Here replacement is not allowed so total number of cases is 10*9=90.

And possible outcomes are (2,1)(3,1)(4,1)(4,2)(5,1)(6,1)(6,2)(6,3)(7,1)(8,1)(8,2)(8,4)(9,1)(9,3)(10,1)(10,2)(10,5)

Hence probability is 17/90 = 0.1889.

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