Question

What is the probability of flipping a coin 10 times and getting tails 8 times? Round your answer to the nearest tenth of a percent.

1) 4.4%
2) 8.8%
3) 16.7%
4) 33.3%

Answer 1

The probability of flipping a coin 10 times and getting tails 8 times is 4.4%.

Step-by-step explanation:

When flipping a coin, the probability of getting tails is 50%. To calculate the probability of getting tails 8 times out of 10 flips, we can use the binomial probability formula which is:

P(x) = C(n, x) * p^x * (1-p)^(n-x)

where P(x) is the probability of getting x successes, n is the number of trials, p is the probability of success in a single trial, and C(n, x) is the number of combinations of n things taken x at a time. In this case, n=10, x=8, and p=0.5. Plugging in these values, we get:

P(8) = C(10, 8) * 0.5^8 * (1-0.5)^(10-8) = 45 * 0.5^8 * 0.5^2 = 45 * 0.5^10 = 0.0439453125

To convert this decimal to a percentage, we multiply by 100:

P(8) = 0.0439453125 * 100 = 4.39453125%

Therefore, the probability of flipping a coin 10 times and getting tails 8 times, rounded to the nearest tenth of a percent, is approximately 4.4%.