Question

A die is rolled once. Find the probabilities of the given events. Leave your answer as a reduced fraction.

The number rolled is a 3.



The number showing is an even number.



The number showing is greater than 2.

Answer 1

the number rolled is a 3 (1/6) the number showing is even (1/2) the number showing is greater than 2 (2/3)

Explanation:

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Answer 2

There are six possible outcomes when a die is rolled once, since there are six sides numbered 1 through 6. Each outcome is equally likely.

The number rolled is a 3:

There is only one way to roll a 3, so the probability is 1/6.

The number showing is an even number:

There are three even numbers on a die (2, 4, and 6), so there are three possible outcomes that satisfy this condition. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2.

The number showing is greater than 2:

There are four numbers on a die that are greater than 2 (3, 4, 5, and 6), so there are four possible outcomes that satisfy this condition. Therefore, the probability of rolling a number greater than 2 is 4/6, which simplifies to 2/3.