Probability Compound

A bag contains 50 lottery balls, numbered 1-50. A ball is chosen at random, then a month of the year is selected. What is the probability of choosing a multiple of 3 and a month starting with the letter “M”? 

• 7/50

• 8/125

• 1/20

• 4/75

The two spinners above are spun. What is the probability of getting a perfect square (1,4,9,16), then the letter Z? 

• 3/20

• 9/20

• 1/8

• 11/40

Kaylee has 1 red, 3 blue, 2 brown, 5 black, 1 purple, and 4 pairs of pink flip-flops in her closet. Assuming she always replaces them, what is the probability that she will choose a blue pair on Monday and a pink pair on Tuesday?

• 3/8

• 4/75

• 3/64

• 15/32

Sam is fishing in a new catch and release pond that was just stocked with 32 bluegill, 49 catfish, 27 bass, and 12 carp. He catches a fish, releases it, then catches another. What is the probability that he caught a bluegill, then a carp? 

• 5/24

• 11/30

• 2/75

• 7/60

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

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? 

• 1/6

• 7/17

• 3/8

• 13/25

A cookie jar has 3 dozen chocolate chip, 1 dozen peanut butter, and 2 dozen oatmeal raisin 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?

• 2/3

• 1/10

• 6/71

• 11/72

Clara picks a marble at random, puts it back, and then picks another marble at random.

• Dependent

• Independent

Victor picks a card at random. Without putting the first card back, he picks a second card at random.

• Dependent

• Independent

The outcome of one event does not influence the outcome of the other event

• independent event

• tree diagram

• simple event

• odds