Question

A coin is flipped twice. What is the probability of getting heads on both coin flips?(1 point)
Responses

14
1 fourth

34
3 fourths

12
1 half

18

Answer 1

To calculate the probability of getting heads on both coin flips, we can follow these steps:

1. Each flip of the coin has 2 possible outcomes: Heads (H) or Tails (T).
2. When flipping a coin twice, the total number of possible outcomes is \( 2 \times 2 = 4 \). The possible outcomes are:
- HH (Heads on both flips)
- HT (Heads on the first flip, Tails on the second)
- TH (Tails on the first flip, Heads on the second)
- TT (Tails on both flips)

3. Out of these 4 outcomes, only 1 outcome is HH (both flips are heads).

4. The probability of getting heads on both flips is the number of favorable outcomes divided by the total number of possible outcomes:
\[
P(\text{HH}) = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} = \frac{1}{4}
\]

Thus, the probability of getting heads on both coin flips is \( \frac{1}{4} \).

The correct response is:
**1 fourth**