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Mathematics 5 Online
OpenStudy (anonymous):

Explain How To Solve A Compound Event

OpenStudy (anonymous):

@jameshorton

OpenStudy (jameshorton):

A compound event is one in which there is more than one possible outcome. Determining the probability of a compound event involves finding the sum of the probabilities of the individual events and, if necessary, removing any overlapping probabilities. Probability is the likelihood that an event will occur. It is written as a fraction with the number of favorable outcomes as the numerator and the total number of outcomes as the denominator. Favorable just means that a particular outcome is what you are curious about, not that it is necessarily positive. Probability can be used to determine many things, from the likelihood that you will win the jackpot in the lottery to the likelihood that a baby will be born with a certain birth defect and anything in between. Probability is used extensively in the sciences, investing, weather reporting and many other areas.

OpenStudy (jameshorton):

Example

OpenStudy (jameshorton):

What is the probability that you will roll a five using a 6-sided die?

OpenStudy (jameshorton):

The favorable outcome is rolling a five, and that can only occur once using one die. The total number of outcomes is six, since the die is 6-sided.

OpenStudy (jameshorton):

So the probability of rolling a five is 1/6

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