Question
Sharon suspects that her brother's penny is unfair. She flips it 50 times and heads comes up 40 times. Based on these trials, the probability that a flip of this coin comes up TAILS is
Responses
A
1 5
B
4 5
C
4 9
D
5 9
Responses
A
1 5
B
4 5
C
4 9
D
5 9
Answers
GPT-4o mini
To determine the probability that a flip of Sharon's brother's penny comes up TAILS based on her trials, we need to analyze her results from the 50 flips.
She flipped the coin 50 times and got heads 40 times. Therefore, the number of tails is:
Number of tails = Total flips - Number of heads
Number of tails = 50 - 40 = 10
Now, the probability \( P(TAILS) \) is calculated as follows:
\[
P(TAILS) = \frac{\text{Number of tails}}{\text{Total flips}} = \frac{10}{50} = \frac{1}{5}
\]
Therefore, the probability that a flip of this coin comes up TAILS is:
**A: \( \frac{1}{5} \)**
She flipped the coin 50 times and got heads 40 times. Therefore, the number of tails is:
Number of tails = Total flips - Number of heads
Number of tails = 50 - 40 = 10
Now, the probability \( P(TAILS) \) is calculated as follows:
\[
P(TAILS) = \frac{\text{Number of tails}}{\text{Total flips}} = \frac{10}{50} = \frac{1}{5}
\]
Therefore, the probability that a flip of this coin comes up TAILS is:
**A: \( \frac{1}{5} \)**