Video: Determining the Probability of an Event in a Dice Experiment

What is the probability of rolling a number divisible by 5 on a fair die?

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Video Transcript

What is the probability of rolling a number divisible by five on a fair die?

We know that a fair die has six faces numbered from one to six. And the die is equally likely to land on each face. The only one of these numbers that is divisible by five is five. When dealing with equally likely outcomes, the probability of an event occurring can be written as a fraction, where the numerator is the number of successful outcomes and the denominator is the number of possible outcomes.

When rolling a die, there are six possible outcomes. As only one of these is divisible by five, there is one successful outcome. The probability of rolling a number divisible by five on a fair die is one out of six or one-sixth.

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