You roll a die, flip a coin, and draw a card. What is the probability that:

You roll a 3, flip a Head, and draw an Ace?

You roll a 3, flip a Head, and draw an Ace?

You roll a 3, flip a Head, and draw an Ace?

Tutors, please sign in to answer this question.

Atlanta, GA

Since these three events can be considered mutually exclusive and one doesn't depend on the other, you can just multiply the three probabilities together to get the probability of getting all three of those.

- Probability of rolling a 3: 1/6
- Probability of flipping a head: 1/2
- Probability of drawing an ace: 4/52
- Probability of all of those happening: 1/6 × 1/2 × 4/52 = 4/624 = .006

This means you have a very small probability of this happening.

- Statistics 1334
- Stats 245
- Probability & Statistics 735
- Probability 1437
- Math Help 5446
- Math 9862
- Math Help For College 1397
- Probability Problems 238
- Standard Deviation 143
- Statistics Method 27