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

6-13.

Gary has his function

*g*(*x*) = 10and Amy has her function^{x}*a*(*m*) = 10. Homework Help ✎^{m}Each person is going to choose a whole number at random from the numbers 1, 2, 3…10, and substitute it into his or her respective function. After they do this, what is the probability that

*g*(*x*) =*a*(*m*)?Find and simplify an expression for

*g*(*x*).*a*(*m*).

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?

Remember the exponent rules.

10^{x}^{ + }^{m}