Theoretical Compound Probability

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

• 17/26

• 1/8

• 5/13

• 1/6

A number cube is rolled twice. What is the probability of getting a 6 on the first roll and an even number on the second roll?

• 2/3

• 5/36

• 1/12

• 1/36

Kaylee has 1 red, 3 blue, 2 brown, 5 black, 1 purple, and 4 pairs of pink flip-flops in her closet. Assuming she does not replace them, what is the probability that she will choose a blue pair on Monday and a pink pair on Tuesday?

• 3/8

• 1/20

• 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

The sample space tree diagram for a team of three students is shown.  What is the probability that the team would consist of at least 2 girls?

• ½

• ⅜

• ¾

• ⅙

What is the probability of drawing a blue color and a number 4?

• 2/5

• 1/6

• 3/15

• 1/15

If you roll one die, what is the probability of getting an odd number or a 4?

• 2/3

• 1/3

• 1/2

• 1/6

A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose one marble. What is the probability of selecting a green or red marble?

• 8/15

• 6/11

• 3/4

• 2/3

Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on green?

• 1 / 16

• 1 ⁄ 6

• 1 ⁄ 8

• 3 ⁄ 4

If you flip a quarter then roll a die, how many possible outcomes are there?
3 Minutes, draw a tree diagram if you want.

• 12

• 36

• 24

• 18