Using the binomial distribution, there is a 0.1201 = 12.01% probability that Alysha will win the bet.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the parameters are given as follows:
n = 20, p = 0.5.
She wins the bet if there are 12 boys, hence the probability is P(X = 12), found as follows:
0.1201 = 12.01% probability that Alysha will win the bet.
More can be learned about the binomial distribution at brainly.com/question/24863377
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