Final answer:
To find the probability of getting exactly 8 heads when flipping a coin 8 times, we can use the binomial probability formula. The probability is approximately 0.0039.
Step-by-step explanation:
To find the probability of getting exactly 8 heads when flipping a coin 8 times, we can use the binomial probability formula. The formula is:
P(X = k) = C(n, k) * p^k * q^(n-k)
Where P(X = k) is the probability of getting exactly k successes, n is the total number of trials, k is the number of successes, p is the probability of success on a single trial, and q is the probability of failure on a single trial.
In this case, n = 8, k = 8, p = 0.5, and q = 0.5.
Plugging these values into the formula:
P(X = 8) = C(8, 8) * 0.5^8 * 0.5^(8-8) = 1 * 0.5^8 * 0.5^0 = 0.5^8 = 0.00390625
So the probability of getting exactly 8 heads when flipping a coin 8 times is approximately 0.0039, which is option a. 0.004.