Question

If a coin is tossed three times. What is the sample space? What is the probability of getting tails all three times full sum step by step​

Answer 1

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 number 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 tails: X = {(T, T, T)}

⇒ |X| = 1

P(X) = |X| / |Ω| = 1/8.

Thus, the probability of flipping a coin three times and getting 3 tails is 1/8.