Video: Using Experimental Probability to Determine the Expected Number of Outcomes of an Event

A fair die is rolled 150 times. What is the expected number of times for an odd number greater than 2 to be rolled?

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Video Transcript

A fair die is rolled 150 times. What is the expected number of times for an odd number greater than two to be rolled?

We know that any fair die has six faces, numbered from one to six. In this question, we want an odd number greater than two. As there are two of these, the numbers three and five, the probability of rolling an odd number greater than two is two-sixths. This can be simplified to one-third by dividing the numerator and denominator by two.

As we’re rolling the dice 150 times, we can calculate the expected number by multiplying one-third by 150. This is the same as dividing 150 by three. The expected number of times for an odd number greater than two to be rolled is 50.

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