Joe puts 5 books in his backpack as he leaves for school. He has 2 math books, 1 science book, and 2 history books. What is the probability that he will grab his science book out of his backpack without looking?

I think 1/5

Jacquie has 4 sweaters that go with her new jeans. What is the probability that she will pick the white one out of her closet?

I think 1/4

1/5 is correct

1/4 may be correct, but only if there is exactly one white sweater in the bunch.

To calculate the probability in both scenarios, we need to determine the total number of possible outcomes and the number of favorable outcomes.

In the case of Joe's backpack, he has a total of 5 books. Since he wants to grab his science book specifically, there is only 1 favorable outcome. Therefore, the probability that Joe will grab his science book without looking is 1 out of 5, or 1/5.

For Jacquie's closet, she has a total of 4 sweaters. Since she wants to pick the white one, there is only 1 favorable outcome. Therefore, the probability that she will pick the white sweater is 1 out of 4, or 1/4.

So your answers are correct!