Compound Probability Without Replacing

A fruit basket contains
9 apples, 3 bananas, 7 oranges, 5 pears, and 1 grapefruit. Kyle randomly chooses a fruit, does not replace it, then chooses another. What is the probably that he chose two pears? 

• 9/49

• 4/125

• 1/10

• 1/30

A chorus has 50 girls and 35 boys. If two are chosen at random to sing a duet, what is the probability that both will be boys? HINT: You can not have the same person twice in a duet 

• 1/6

• 7/17

• 3/8

• 13/25

Jacob's piggy bank has 18 quarters, 20 dimes, 24 nickels, and 43 pennies. He chooses a coin, does not replace it, then chooses another. What is the probability that he chose a dime then a nickel?

• 9/52

• 4/91

• 44/105

• 11/26

Two marbles are randomly drawn from a bag containing 3 purple, 1 blue, and 1 yellow marble. The first marble is blue and is not replaced. Find the probability of drawing a second marble that is purple.

• 3/5

• 3/4

• 3/20

• 2/5

A cookie jar has 3 DOZEN chocolate chip, 1 DOZEN peanut butter, and 2 DOZEN oatmeal cookies. If Megan chooses a cookie, does not replace it, then chooses another, what is the probability that she chooses a peanut butter then a chocolate chip cookie? (leave answer in fraction form in lowest terms) (also, sorry for making you hungry!)

• 2/3

• 1/10

• 11/72

• 6/71

Ms. Howard a bag with 3 red marbles, 2 blue, 4 green, and 1 yellow. What is the probability that she will randomly pull out a green marble, without replacement, and then pull out a yellow marble?

• 4/9

• 1/18

• 2/45

• 1/25

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

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

2. Suppose two tiles are drawn from the collection shown. The first tile is not replaced before the second tile is drawn. Find P(A then A)

• 4/225

• 1/105

• 3/71

• 2/15

Find each probability of picking a R, then another R, if you pick a card, do not replace it, and then pick a second card.