Find the probability. Round to the nearest ten-thousandth when necessary.
-What is the probability that 15 tosses of a fair coin will show 5 tails?
A) 0.0916
B) 0.1832
C) 0.0458
D) 0.0183

Question

Find the probability. Round to the nearest ten-thousandth when necessary.
-What is the probability that 15 tosses of a fair coin will show 5 tails?
A) 0.0916
B) 0.1832
C) 0.0458
D) 0.0183

Quizplus · Accepted Answer

The probability of getting exactly 5 tails in 15 tosses of a fair coin can be calculated using the binomial probability formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials (15), k is the number of successes (5), and p is the probability of success on a single trial (0.5 for a fair coin). Plugging in the values, we get P(5 tails) = (15 choose 5) * (0.5)^5 * (0.5)^(15-5) = 0.0916.

Find the Probability. Round to the Nearest Ten-Thousandth When Necessary. -What Is the Probability That 15 Tosses of a Fair