### Home > AC > Chapter 13 > Lesson 13.IF1-S > Problem 6-13

6-13.

Gary has his function* *and Amy has her function* *.

Each person is going to choose a whole number at random from the numbers

, , … , and substitute it into his or her respective function. After they do this, what is the probability that ?Notice that

*g*(*x*) and*a*(*m*) are equivalent functions, what is the probability that Gary and Amy pick the same number?Assume Gary has chosen a number. How many chances does Amy have to pick the same number?

Out of how many choices?Find and simplify an expression for

.Remember the exponent rules.