Question

three coins are flipped. what is p(heads, heads, heads)?

Explanation:

Step1: Determine single coin probability

A fair coin has 2 outcomes (heads/tails), so \( P(\text{heads})=\frac{1}{2} \).

Step2: Use independent events rule

Flipping coins are independent. For three coins, \( P(\text{heads, heads, heads}) = P(\text{heads}) \times P(\text{heads}) \times P(\text{heads}) \).
Substitute \( P(\text{heads})=\frac{1}{2} \): \( \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2}=\frac{1}{8} \).

Answer:

\(\frac{1}{8}\)