Question

Anne is on the chess team at her school. She wins a match 20% of the time. Design a simulation that will predict the probability of Anne winning two matches. to represent winning two chess matches with representing Anne winning a match. Perform the simulation times. Using this simulation, the probability of Anne winning two matches is about .

Answer 1

Using the binomial distribution, it is found that there is a 4% probability of Anne winning two matches.

What is the binomial distribution formula?

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

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.

In this problem:

• She plays two matches, hence n = 2.

• She wins a match 20% of the time, hence p = 0.2.

The probability that he wins two matches is P(X = 2), hence:

$P(X = 2) = C_{2,2}.(0.2)^{2}.(0.8)^{0} = 0.04$

4% probability of Anne winning two matches.

More can be learned about the binomial distribution at https://brainly.com/question/24863377