Compound Probability (and) Practice

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 coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 

• 1/12
• 1/4
• 1/8
• 1/2

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 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

You have a bag of 18 marbles. 4 are blue, 6 are green, 3 are red, and the 5 are yellow. What is the probability of drawing a red marble, putting it aside, and then drawing a green marble?

• 1/136

• 2/17

• 3/51

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

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

You roll a six sided die. What is the probability of rolling an even number three times in a row? 

• 3/100
• 1/2
• 1/6
• 1/8

A piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies. A coin is chosen at random, not replaced, then another is chosen.

Find the probability of picking a quarter, not replacing it, and then a nickel.

• 1/39

• 1/20

• 10/39

• 9/195

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?

• 1/136
• 2/17
• 3/68