Question

example 3: henry flips a coin 3 times. make a list to show the sample space, then find the probability of getting three heads.

Explanation:

Step1: List all sample space outcomes

Each flip has 2 results (Heads=H, Tails=T). For 3 flips, the sample space is:
$\{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT\}$
Total outcomes $n(S) = 8$

Step2: Identify favorable outcomes

Favorable outcome for 3 heads: $\{HHH\}$, so $n(A) = 1$

Step3: Calculate probability

Probability $P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$
$P(\text{three heads}) = \frac{n(A)}{n(S)} = \frac{1}{8}$

Answer:

Sample space: $\{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT\}$
Probability of getting three heads: $\frac{1}{8}$