A die is rolled. What is the probability of rolling an even number?

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Question: A die is rolled. What is the probability of rolling an even number?

Options:

Correct Answer: 1/2

Solution:

The even numbers on a die are 2, 4, and 6, which gives us 3 favorable outcomes. The total outcomes are 6. Therefore, the probability is 3/6 = 1/2.

A die is rolled. What is the probability of rolling an even number?

A die is rolled. What is the probability of rolling an even number?

Step 1: Understand that a die has 6 sides, numbered from 1 to 6.
Step 2: Identify the even numbers on the die. The even numbers are 2, 4, and 6.
Step 3: Count the number of even numbers. There are 3 even numbers (2, 4, and 6).
Step 4: Determine the total number of possible outcomes when rolling a die. There are 6 possible outcomes (1, 2, 3, 4, 5, 6).
Step 5: Calculate the probability of rolling an even number. The probability is the number of favorable outcomes (even numbers) divided by the total outcomes: 3 (even numbers) / 6 (total outcomes).
Step 6: Simplify the fraction 3/6 to get 1/2.

Probability – The likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
Even Numbers – In the context of a die, the even numbers are 2, 4, and 6.
Favorable Outcomes – The outcomes that satisfy the condition of the event being measured, in this case, rolling an even number.