If you flip two coins 64 times, what is the best prediction possible for the number of times both coins will land on heads? times

To predict the number of times both coins will land on heads when flipping two coins 64 times, we can follow these steps: 1. **Determine the probability of both coins landing on heads in a single flip.** - When flipping two coins, the possible outcomes are: HH (both heads), HT (heads and tails), TH (tails and heads), TT (both tails). - There are 4 possible outcomes, and only 1 of them is HH. - Therefore, the probability \( P \) of both coins landing on heads in one flip is: \[ P(HH) = \frac{1}{4} \] 2. **Calculate the expected number of times both coins will land on heads in 64 flips.** - The expected value \( E \) can be calculated by multiplying the probability of both coins landing on heads by the number of flips: \[ E = P(HH) \times \text{Number of flips} = \frac{1}{4} \times 64 \] Now, let's perform the calculation for the expected value. \[ E = \frac{1}{4} \times 64 = 16 \] Thus, the best prediction for the number of times both coins will land on heads when flipping two coins 64 times is **16 times**.