Q. 24

Two numbers 'a' and 'b' are selected successively without replacement in that order from the integers 1 to 10. The probability that a/b is an integer, is
A.

B.

C.

D.

Answer :

Total numbers of elementary events are: 10 x 9= 90

Being numbers are of non-replacing nature and order matters


Let E be the event of a/b as an integer


Favorable events are:


2/1, 3/1 , 4/1, 4/2, 5/1 , 6/1, 6/2 , 6/3 , 7/1 , 8/4 , 8/2 , 8/1, 9/3 , 9/1 , 10/5 , 10/2 , 10/1


Numbers of favorable outcomes are: 17/90


P (a/b is an integer) = P (E) = 17/90

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