Question

When Kevin plays chess with Aaron, the probability that Kevin wins is 0.75. If Aaron and Kevin play 25 games, what is the probability that Kevin wins exactly 15 times?

Answer 1

Answer:

Step-by-step explanation:

plato .04

Answer 2

The probability is 0.04 that Kevin wins exactly 15 times.

What is a binomial random variable?

This is a specific type of discrete random variable. A binomial random variable tracks the frequency of a specific event over a predetermined number of trials. Whenever a variable is a binomial random variable.

Using binomial random variable probability

P(x)=(n!/x!(n−x)!)*(pˣ)*(1−p)⁽ⁿ⁻ˣ⁾

n = number of trials

x = number of successes

p = probability event of interest occurs on any one trial

Given data as :

n = 25, x = 15 and p = 0.75

Substitute the values in the binomial random variable probability formula

P(x) = (25!/15!(25−15)!)*(0.75¹⁵)*(1−p)⁽²⁵⁻¹⁵⁾

P(x) = 0.04

Hence, the probability is 0.04 that Kevin wins exactly 15 times.

Learn more about the binomial random variable here:

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