Problems like those that will be on the quiz:

1. I have 5 green, 3 yellow and 3 blue marbles in a bag.

a. If I pick 3 (without replacement), what is the probability that they are all green?

b. If I pick 3, what is the probability that none of them is green?

c. If I pick 3, what is the probability that at least one of them is green?

2. If I roll 3 normal 6-sided dice, what is the probability that

a. I get 4 on all three dice?

b. I don't get 4 on any dice?

c. I get a 4 on at least 1 of the dice?

c'. I get at least a 4 (4 or greater) on at least 1 of the dice?

d. I get the same number on all three dice?

e. I don't get the same number on all three dice?

f. I get different numbers on each die?

3. If I pick 3 cards (without replacement) from a normal deck, what is the probability that I will get:
(give answers in decimal form)

a. 3 of a kind (all 3 the same number or same face card)?

b. 3 different kinds (A, 1, ..., J, Q, K)?

c. none of them is a face card?

d. at least one face card?

e. all will have the same suit?

f. not all will have the same suit?

g. I will get 3 differnt suits?

Answers