Question Video: Finding the Probability of Rolling an Even Number on a Fair Die | Nagwa Question Video: Finding the Probability of Rolling an Even Number on a Fair Die | Nagwa

# Question Video: Finding the Probability of Rolling an Even Number on a Fair Die Mathematics

What is the probability of rolling an even number on a fair die?

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### Video Transcript

What is the probability of rolling an even number on a fair die?

A fair die has six faces numbered from one to six. And the die is equally likely to land on each face. An even number is a number that is divisible by two, in this case, two, four, and six. 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.

As there’re six possible values that could occur when rolling a dice, our denominator is six. Three of our members are even, so our numerator is even. The probability of rolling an even number is three out of six, or three-sixths. This fraction can be simplified as the numerator and denominator are both divisible by three. Three divided by three is equal to one, and six divided by three is equal to two. This means that the answer, in its simplest form, is one-half. This could also be written as 0.5 or 50 percent.

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