Question

What is the probability of flipping a coin 10 times and getting tails 6 times? Round your answer to the nearest tenth of a percent. O A. 20.5% B. 11.7% O C. 1.0% O D. 4.4% SUBMIT​

Answer 1

0.2051

Explanation:

The probability of follppping a coin 10 tones and getting a tail 6 times can be solved in different ways :

One way is to use the binomial probability relation :

Where :

P(x = x) = nCx * p^x * q^(n-x)

Number of trials, n = 10

p = 1/2 (probability of obtaining a tail per flip)

q = 1- 1/2 = 1/2

x = 6

P(x = 6) = 10C6 * 0.5^6 * 0.5^4

P(x = 6) = 0.205078125

P(x = 6) = 0.2051