Probability Without Replacement

A bag contains 5 red balls and 3 blue balls. If two balls are drawn without replacement, what is the probability that both balls are red?

• 2/7

• 5/14

• 4/9

• 3/8

A deck of cards contains 4 aces, 3 kings, and 5 queens. If two cards are drawn without replacement, what is the probability that the first card is an ace and the second card is a king? Those are the only cards in the "deck".

• 1/11

• 1/9

• 1/15

• 1/44

A bag contains 8 red balls and 6 blue balls. If two balls are drawn without replacement, what is the probability that the first ball is red and the second ball is blue?

• 24/91

• 6/91

• 8/91

• 14/91

A jar contains 7 black marbles and 3 white marbles. If two marbles are drawn without replacement, what is the probability that the first marble is black and the second marble is white?

• 7/45

• 2/9

• 3/10

• 1/5

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.

P(white, then purple, then black) = ?

• 1/36

• 2/39

• 5/41

• 6/43

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a yellow candy, not replacing it, then selecting a green candy?

• 1/5

• 3/19

• 3/95

• 12/380

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. Find the probability that the first marble is purple and the second marble is purple.

• 2/9

• 1/3

• 1/2

• 1/4

The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown
What is the probability of selecting a brown candy, not replacing it then selecting a blue candy?

• 1/40

• 7/20

• 6/19

• 1/38

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. Find P(both marbles are purple)

• 2/9

• 1/3

• 1/2

• 1/4

There are 10 counters in a bag, 3 red and 7 blue. I take one counter, then another without replacement. Find the probability of the value marked y

• ⁷/₁₀

• ³/₁₀

• ⁶/₉

• ²/₉