The probability that a tennis set will go to a tie-breaker is 19%. what is the probability that two of three sets will go to tie-breakers?

The probability is:

0.087723

Step-by-step explanation:

We need to use the binomial distribution to calculate the probability.

We are given that:

The probability that a tennis set will go to a tie-breaker is 19%.

i.e. the probability is: 0.19

Also, we are asked to find  the probability that two of three sets will go to tie-breakers.

We know that the probability of binomial distribution is given as:

where n are the total outcomes.

p is the probability of success.

and P denotes the probability.

Here we have:

p=0.19

k=2

and n=3

Hence,

Hence, the probability that two of three sets will go a tie breaker is:

0.087723