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

2025

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

  1. A.

    1/6

  2. B.

    1/2

  3. C.

    2/3

  4. D.

    1/3

Attempted by 39 students.

Show answer & explanation

Correct answer: B

Correct Option
Option B: 1/2

Step-by-Step Solution
Identify the Sample Space:

A standard six-sided die has the following possible outcomes: {1, 2, 3, 4, 5, 6}.

Total number of possible outcomes = 6.

Identify Favourable Outcomes:

The even numbers within the sample space are {2, 4, 6}.

Total number of favourable outcomes = 3.

Calculate Probability:

Probability = Favourable Outcomes / Total Outcomes.

Probability = 3 / 6.

Simplified, this equals 1/2.

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