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Lesson: Applied Arithmetic - 27t01

In-Format Multiple Event Probability

[Page 27 of 36]
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A class contains five juniors and five seniors. If one member of the class is assigned at random to present a paper on a certain subject, and another member of the class is randomly assigned to assist him, what is the probability that both are juniors?

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Here you can determine the probability of each individual event occurring. To determine multiple-event probability, multiply the probability that the first event will occur by the probability that the second event will occur.

In this case, this would translate as:

So the probability = that the first student chosen is a junior.

The probability equation is the same for the second student chosen, but the numbers change a little. Since one student has already been chosen, there are only nine students left from which to choose. If the first student chosen was a junior, there are only four juniors, so the probability that the second student chosen is also a junior is .

Now multiply the individual probabilities together. The probability that both students chosen are juniors is .

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