A fair coin is flipped, and a fair six-sided die is rolled. What is the probability that the coin shows tails and the die will show a 3 or 4?

Correct answer marked below

1/2

1/3

1/4

1/6

Correct

1/12

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Explanation

Preview

Official Explanation

Official

The probability of getting tails on the coin is

P(T)=\frac{1}{2}

. The probability of rolling a 3 is

P(3)=\frac{1}{6}

, and the probability of rolling a 4 is

P(4)=\frac{1}{6}

. Therefore,…

Comments

PrayagApr 4, 2025

Great

What this question tests

Your ability to compute probabilities of single and compound events, including 'at least one' questions.

Forgetting to use the complement for 'at least one', or treating dependent events as independent.