Find the probability that a number is multiple of 7 selected at random from the numbers 1,2,3.....35

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Solution

Given set of numbers are: 1, 2, 3, 4, ........, 34, 35.
Let B be the event of selecting a multiple of 7. Favourable outcomes to event B = 7, 14, 21, 28 and 35
Therefore, number of favourable outcomes = 5 Total number of outcomes = 35
So
The probability that a number is multiple of 7 selected at random from the numbers 1,2,3.....35
=Number of faveroble outcome/total outcomes
=5/35
=1/7

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