Multiple choice

Given a fair six - faced dice where the faces are labelled 1, 2, 3, 4, 5 and 6. What is the probability of getting a "1" on the first roll of dice and the "4" on the second roll?

  1. 1 36

  2. 1 6

  3. 5 6

  4. 1 3
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A Correct answer
Explanation

The probability of rolling 1 on the first roll is 1/6, and the probability of rolling 4 on the second roll is also 1/6. Since the rolls are independent, multiply the probabilities: 1/6 × 1/6 = 1/36.

AI explanation

The probability of rolling a 1 on a fair die is 1 divided by 6, and the probability of rolling a 4 on a fair die is 1 divided by 6. Because these are independent events, the multiplication rule for probability states the joint probability is the product of the individual probabilities. Therefore, 1 divided by 6 multiplied by 1 divided by 6 gives 1 divided by 36.

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