Complex Probability

A letter of the alphabet is chosen at random, then a coin is flipped. What is the probability of choosing a letter from the word MATH then getting tails? 

• 17/26
• 1/13
• 5/13
• 5/26

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 

• 2/3
• 5/36
• 1/9
• 1/36

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 has18 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 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? 

• 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