Chapter 16.1, Problem 5P

A family math night at school features the following game. There are two opaque bags, each containing red blocks and yellow blocks. Bag 1 contains 3 red blocks and 5 yellow blocks. Bag 2 contains 5 red blocks and 15 yellow blocks. To play the game, you pick a bag and then you pick a block out of the bag without looking. You win a prize if you pick a red block. Kate thinks she should pick from bag 2 because it contains more red blocks. Is Kate more likely to pick a red block if she picks from bag 2 rather than bag 1? Explain why or why not.