Question
If you flip three fair coins in a row, what is the probability that you will get tails on all three?
A. 1/3
B. 1/6
C. 3/8
D. 1/8
A. 1/3
B. 1/6
C. 3/8
D. 1/8
Answers
GPT-4o mini
When flipping a fair coin, the probability of getting tails on a single flip is \( \frac{1}{2} \).
To find the probability of getting tails on all three flips, you multiply the probabilities for each individual flip together:
\[
P(\text{tails on all three}) = P(\text{tails}) \times P(\text{tails}) \times P(\text{tails}) = \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = \frac{1}{8}
\]
Thus, the probability of getting tails on all three coins is \( \frac{1}{8} \).
The correct answer is:
**D. \( \frac{1}{8} \)**
To find the probability of getting tails on all three flips, you multiply the probabilities for each individual flip together:
\[
P(\text{tails on all three}) = P(\text{tails}) \times P(\text{tails}) \times P(\text{tails}) = \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = \frac{1}{8}
\]
Thus, the probability of getting tails on all three coins is \( \frac{1}{8} \).
The correct answer is:
**D. \( \frac{1}{8} \)**