Judging from past basketball games, the probability that you make a free throw is 45. if you get 260 attempts this season, how many free throws can you expect to make?

To predict how many free throws you will make, you can use proportions:

If there is a 45% probability that you make a free throw, you will write this as

45

100

Use this ratio to solve for how many free throws you will make out of 260.

45 x

100 = 260

You can use cross products to solve for x.

260 x 45 = 100x

11700 = 100x

100 100

x = 117 free throws

You can expect to make 117 free throws.