Assignment: Conditional Probability

Problem 1: What is the probability of drawing a heart, given that you drew a queen?

Problem 2: What is the probability of rolling an even that you roll a two?

Use the following of rolling an even, given that you roll a two?

Use the following information to answer questions 3-9. A bin has 7 white tickets and 13 red tickets. One ticket is drawn from the bin, set aside, and another is drawn.

Problem 3: Draw a tree diagram:

Find the probability that:

4. Both tickets are red.

5. The ticket is red and the second ticket is white.

6. At least one of the tickets is red.

7. The second ticket is red given that the first ticket is white.

8. Given that you draw a red ticket, what is the probability the second ticket is white?

9. Both tickets are the same color.