Question

Bryce has two small buckets each containing numbered tiles. The tiles in bucket A are the odd numbers from 1 to 31, one tile per number. The tiles in bucket B are the even numbers from 2 to 32, one tile per number. Bryce draws one tile from bucket A. On the number line below "Bucket A," select the point that represents the probability of drawing a tile that is a prime number from bucket A. He then draws one tile from bucket B. On the number line below "Bucket B," select the point that represents the probability of drawing a tile that is evenly divisible by 6 from bucket B.

Answer 1

Part A is 5/8 and Part B is 5/16.

In each bucket, there are 16 tiles.

For bucket A, you are looking for prime numbers. There are 10 of them: 3 5 7 11 13 17 19 23 29 31
That gives us a chance of 10/16 or 5/8.

For bucket B, you are looking for numbers divisible by 6. There are 5 of them: 6 12 18 24 30
That gives us a chance of 5/16.