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Question

If a number of two digits is formed with the digits 2,3,5,7,9 without repetition of digits.

The probability that the number formed is 35, is


A

110

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B

120

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C

130

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D

none of these

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Solution

The correct option is B

120


Finding the probability:

Let the sample space is S, that a number of two digits formed with the digits 2,3,5,7,9 without the repetition of digits.

S=23,25,27,29,32,35,37,39,52,53,57,59,72,73,75,79,92,93,95,97

Total outcome is 23,25,27,29,32,35,37,39,52,53,57,59,72,73,75,79,92,93,95,97=20

Favorable outcome, the event that the number formed 35 is 1.

Now, the required probability is FavorableoutcomeTotaloutcome=120

Hence, correct answer is option B.


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