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If the odds against an event happening are 24:3124:31 , what is the probability in favor of the event happening?Write all answers as simplified fractions.

Question

If the odds against an event happening are 24:3124:31 , what is the probability in favor of the event happening?Write all answers as simplified fractions.

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Solution

The odds against an event happening are given as 24:31. This means that for every 24 times the event does not happen, it happens 31 times.

The total number of outcomes is therefore 24 (against) + 31 (for) = 55.

The probability of an event happening is defined as the number of favorable outcomes divided by the total number of outcomes.

So, the probability in favor of the event happening is 31 (favorable outcomes) divided by 55 (total outcomes), which simplifies to 31/55.

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