Question
Abdul flips a weighted coin 64 times and gets 16 tails. Based on experimental probability, how many of the next 40 flips should Abdul expect to come up tails?
tails
tails
Answers
GPT-4o mini
To find the expected number of tails in the next 40 flips based on Abdul's experiment, we first need to calculate the experimental probability of getting tails from his previous flips.
He flipped the coin 64 times and got 16 tails, so the experimental probability \(P(Tails)\) is calculated as follows:
\[
P(Tails) = \frac{\text{Number of tails}}{\text{Total number of flips}} = \frac{16}{64} = \frac{1}{4}
\]
Now, we want to find the expected number of tails in the next 40 flips. We use the experimental probability to do this:
\[
\text{Expected number of tails} = P(Tails) \times \text{Number of flips} = \frac{1}{4} \times 40 = 10
\]
Thus, based on the experimental probability, Abdul should expect approximately **10 tails** in the next 40 flips.
He flipped the coin 64 times and got 16 tails, so the experimental probability \(P(Tails)\) is calculated as follows:
\[
P(Tails) = \frac{\text{Number of tails}}{\text{Total number of flips}} = \frac{16}{64} = \frac{1}{4}
\]
Now, we want to find the expected number of tails in the next 40 flips. We use the experimental probability to do this:
\[
\text{Expected number of tails} = P(Tails) \times \text{Number of flips} = \frac{1}{4} \times 40 = 10
\]
Thus, based on the experimental probability, Abdul should expect approximately **10 tails** in the next 40 flips.