Final answer:
The probability that at least 7 out of 8 coin flips land on heads is 0.0078.
Therefore, the correct answer is: option 3: 0.0078
Step-by-step explanation:
To find the probability that at least 7 out of 8 coin flips land on heads, we can use the binomial probability formula.
The formula for the probability of getting exactly x successes in n trials, each with a probability of success p, is:
P(x) = C(n, x) * p^x * (1-p)^(n-x)
Since we want to find the probability of at least 7 heads, we can add the probabilities of getting 7, 8 heads:
P(at least 7 heads) = P(7) + P(8) = C(8, 7) * 0.5^7 * 0.5^1 + C(8, 8) * 0.5^8 * 0.5^0
= 8 * 0.5^7 * 0.5 + 1 * 0.5^8 * 1
= 0.0039 + 0.0039
= 0.0078
Therefore, the probability that at least 7 out of 8 coin flips land on heads is 0.0078.