Question:

1. Consider a standard deck of 52 cards from which a single card is drawn at random. Show your work for each question. Show work for each question.

a. What is the probability of drawing an 8?

b. What is the probability of drawing a heart?

c. What is the probability of not drawing a heart?

d. What is the probability of drawing a 15?

e. What is the probability of drawing a red or a black card?

2. Consider a standard of 52 cards from which a single card is drawn at random. What are the odds for drawing a heart? Show your work

3. The odds that a LA Lakers will win the NBA championship are currently at 11 to 5. If you bet $25 and the Lakers win, how much will you gain? show you work

4. Suppose we have a bag with 20 marbles in it: 12 red, 6 blue, and 2 white.

a. If we reach in and take a single marble out, what is the probability that it is blue?

b. If we reach in and take a single marble out, what is the probability that it is blue or red?

c. If we reach in and take a single marble out, what is the probability that it is not red?

d. What is the probability of selecting two blue marbles in a row if we replace the first marble before selecting the second marble?

e. What is the probability of selecting two red marbles in a row if we draw without replacement?

f. What is the probability of selecting three white marbles in a row if we draw without replacement?