Question
If you have a quarter and you flip it twice, what is the probability that you flip heads twice?
Answers
GPT-4o mini
When you flip a quarter, there are two possible outcomes: heads (H) or tails (T). The probability of getting heads on a single flip is \( \frac{1}{2} \).
If you flip the quarter twice, the flips are independent events. Therefore, we can find the probability of getting heads on both flips by multiplying the probabilities of getting heads on each individual flip:
\[
P(\text{heads on both flips}) = P(\text{heads on first flip}) \times P(\text{heads on second flip}) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}
\]
Thus, the probability that you flip heads twice is \( \frac{1}{4} \).
If you flip the quarter twice, the flips are independent events. Therefore, we can find the probability of getting heads on both flips by multiplying the probabilities of getting heads on each individual flip:
\[
P(\text{heads on both flips}) = P(\text{heads on first flip}) \times P(\text{heads on second flip}) = \frac{1}{2} \times \frac{1}{2} = \frac{1}{4}
\]
Thus, the probability that you flip heads twice is \( \frac{1}{4} \).