Final answer:
The probability of getting tails 8 times in 10 coin flips is approximately 4.4%.
Step-by-step explanation:
To calculate the probability of getting tails 8 times in 10 coin flips, we can use the binomial probability formula. The formula is:
P(X=k) = C(n, k) * p^k * (1-p)^(n-k)
Where n is the number of trials (10), k is the number of successes (8), p is the probability of getting tails (0.5), and C(n, k) is the number of combinations of n items taken k at a time.
Plugging in the values, we get:
P(X=8) = C(10, 8) * 0.5^8 * (1-0.5)^(10-8) = 45 * 0.00390625 * 0.25 = 0.0439453125
Multiplying by 100 to convert to a percentage, the probability of getting tails 8 times in 10 coin flips is approximately 4.4%.