Question
You flip a coin twice.
What is the probability of getting heads and then getting heads?
Write your answer as a decimal.
What is the probability of getting heads and then getting heads?
Write your answer as a decimal.
Answers
GPT-4o mini
When flipping a fair coin, the probability of getting heads (H) on a single flip is \( \frac{1}{2} \).
Since the flips are independent, the probability of getting heads on the first flip and heads on the second flip is calculated by multiplying the probabilities of each flip:
\[
P(\text{Heads on first flip}) \times P(\text{Heads on second flip}) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}.
\]
As a decimal, \( \frac{1}{4} = 0.25 \).
Thus, the probability of getting heads and then heads is \( \boxed{0.25} \).
Since the flips are independent, the probability of getting heads on the first flip and heads on the second flip is calculated by multiplying the probabilities of each flip:
\[
P(\text{Heads on first flip}) \times P(\text{Heads on second flip}) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}.
\]
As a decimal, \( \frac{1}{4} = 0.25 \).
Thus, the probability of getting heads and then heads is \( \boxed{0.25} \).