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

yes

yes assuming only one of them is white which is implied by the grammar.

To determine the probability, we need to know the total number of items in the set and the number of desired outcomes. In both cases, the desired outcome is picking a specific book or sweater.

For Joe's situation, he has a total of 5 books in his backpack, and only 1 of them is the science book. Therefore, the probability of Joe grabbing his science book without looking is 1 out of 5, which is indeed 1/5.

Similarly, for Jacquie's situation, she has a total of 4 sweaters in her closet, and only 1 of them is white. Therefore, the probability of her picking the white sweater is 1 out of 4, which is indeed 1/4.