9/20 AMDM Compound Probability Practice

There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?

• 2/5

• 1/21

• 4/25

• 1/7

A basket contains 5 purple pencils and 9 brown pencils. If two pencils are picked at random one after the other without replacement, then what is the probability that both the pencils are purple?

• 25/182

• 25/196

• 2/91
• 10/91

A jar contains 2 green marbles, 4 blue marbles, 3 yellow marbles, and 2 black marbles. A marble is chosen at random from the jar and replaced. Then a second marble is chosen at random. Find the probability of the first marble being green and the second marble being yellow. 

• 3/55

• 2/55

• 2/11

• 6/121

You have a bag of 17 marbles.  Four are blue, 6 are green, 2 are red, and the others are yellow.  What is the probability of drawing a red marble, putting it aside, and then drawing a green marble?

• 12/289

• 5/136

• 3/68
• 1/50

• 1/60

Using a standard deck of cards, what is the probabililty that I randomly select a red card and then a spade, with replacement?

• 1/4

• 1/2

• 13/102

• 1/8

Using a standard deck of cards, what is the probability that I choose a face card and then a card with a number, without replacement?

• 40/221

• 30/169

• 27/169

• 36/221

Use a standard deck of cards: If I randomly select cards, what is the probability that I choose a black face card and then a red face card without replacement?

• 3/221

• 9/676

• 5/442

• 6/221

A box has 5 dimes, 8 nickels, 2 quarters, and 10 pennies.

If I randomly select two coins, what is the probability that I select a quarter and then a dime if I replace the first coin before I choose the second coin?

• 1/300

• 2/125

• 1/60

• 1/75

A box has 5 dimes, 8 nickels, 2 quarters, and 10 pennies.

What is the probability that I randomly select two pennies if I don't replace the first coin before I choose the second coin.

• 3/20

• 4/25

• 1/6

• 2/15

A box has 5 dimes, 8 nickels, 2 quarters, and 10 pennies. What is the probability that I randomly select a nickel, replace it, and then randomly select a penny?

• 3/25

• 56/625

• 16/125

• 2/15