Final answer:
The probability of getting exactly 3 heads when flipping a coin 8 times is 0.875.
Step-by-step explanation:
The probability of getting exactly 3 heads when flipping a coin 8 times can be calculated using the binomial probability formula. The formula is: P(x) = (nCk) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successful outcomes, p is the probability of success on a single trial, and ^ is the exponent symbol.
In this case, n=8, k=3, and p=0.5 (since a fair coin is being flipped). Plugging in these values, the probability can be calculated as:
P(3 heads out of 8 flips) = (8C3) * (0.5)^3 * (0.5)^(8-3) = 56 * 0.125 * 0.125 = 0.875.
Therefore, the probability of getting exactly 3 heads when flipping a coin 8 times is 0.875.