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Question

An integer is chosen between 0 and 100. What is the probability that it is divisible by 7?


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Solution

According to the question,

The total number of integers between 0 and 100 are 99.

Thus the total number of possible outcomes =99

Let A be the event of choosing an integer that is divisible by 7.

Then A=7,14,21,28,35,42,49,56,63,70,77,84,91,98
Thus the total number of favorable outcomes =14

If the probability of happening of an event A is denoted by P(A), then

P(A)=TotalnumberoffavorableoutcomesTotalnumberofpossibleoutcomes

P(A)=1499

Therefore the required probability is 1499.


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