The probability that Ashley wins a race against Madelyn is 25%. What is the probability that Ashley wins exactly the of the next five races against Madelyn?

1 Answer
Feb 28, 2018

#1/1024#

Explanation:

The probability of Ashley winning a race is #25%#, which is #1/4#.

As each race is individually different and they are not correlated (i.e. result of one race does not affect the other), each race, there is #1/4# probability that Ashley wins.

The probability that Ashley wins the next five races
#=(1/4)^5#
#=1/1024#