# If two different integers between 1 and 100 inclusive are chosen at random, what is the...

## Question:

If two different integers between 1 and 100 inclusive are chosen at random, what is the probability that the difference between the two numbers is 15?

## Probability of simple events.

Probability of an event occurring is the ratio of the number of favourable outcomes for that event and the total possible outcomes of that given event i.e the measure of the likelihood of an event happening.

Number of ways of choosing 2 numbers in the range of {eq}1-100={100 \choose 2}=4950 {/eq} ways

The sample space for choosing 2 numbers with a...

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