# What is the Probability of Flipping a Coin Three Times and having them all Land "Heads" up?

We will be using the concept of probability to solve this.

## Answer: The Probability of Flipping a Coin Three Times and having them all Land "Heads" up is 1/8.

Let's solve this step by step.

**Explanation:**

Let us mark H for Heads and T for Tails.

The coin is flipped three times; the total probability of outcomes = 2 × 2 × 2 = 8

Sample Space (|Ω|) = {(H, H, H), (H, H, T), (H, T, H), (H, T, T), (T, H, H), (T, H, T), (T, T, H), (T, T, T)} = 8

Let X be the probability of getting all heads up: X = {(H, H, H)}

⇒ |X| = 1

P(X) = |X| / |Ω| = 1/8