### Home > ACC6 > Chapter 5 Unit 12 > Lesson CC2: 5.2.6 > Problem5-86

5-86.

Darnell is designing a new game. He will have $110$ different-colored blocks in a bag. While a person is blindfolded, he or she will reach in and pull out a block. The color of the block determines the prize according to Darnell’s sign at right.

 blue → small toy  purple → hat   green → large stuffed animal
1. If he wants players to have a $60\%$ probability of winning a small toy, how many blue blocks should he have?

Since picking a blue block gives a small toy prize, Darnell can consider the probability of picking a blue block as the probability of winning a small toy.

If he wants players to have a $60\%$ probability of winning a small toy, $60\%$ of the $110$ blocks in the bag should be blue.

$66$ blue blocks

2. If he wants players to have a $10\%$ probability of winning a large stuffed animal, how many green blocks should he have?

See part (a).