Set Theory and Probability

What statement does the shaded region represent?

• C∪ B ∩ C

• C'

•  ∪ B

• ∩ C ∪ A

From the above Venn diagram, what is the set S' ?

• {casey, drew}

• {blair, francis, glen, jade}

• {blair, erin, francis, ira}

• {jade, glen, blair, erin, francis, ira}

Theoretical P(Green or Red)

• 2/6

• 1/5

• 2/5

• 1/5

Theoretical P(King)

• 2/8

• 1/8

• 3/8

• 1/4

A key ring has 12 keys, 3 of which open the house door. If two keys are randomly selected without replacement, what is the probability that neither key opens the door?

Sonia has 5 yellow hair clips, 2 red hair clips, and 3 blue hair clips in her purse. What is the probability that she will randomly select one yellow hair clip and one blue hair clip without replacement?

The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the complete set of possible combinations?

• TW, CW, PW

• TW, TM, TC, CW, PW

• TW, TM, CW, CM, PW, PM

• TCP, MW

Which of the following situations is represented by this tree diagram?

• 3 shirt options, 6 pants options, and 12 shoe options

• 3 shirt options, 2 pants options, and 2 shoe options

• 2 shirt options, 3 pants options, and 1 shoe option

Andrew picks one marble at a time from a box and replaces it. He repeats this process 25 times and records the results in the table. Based on the table, which color marble has an experimental probability of 1/5?

• Yellow

• Red

• Blue

• Green

In a fish tank, there are 23 goldfish, 4 angelfish, and 9 guppies. If a fish is selected at

random, find the probability that it is an angelfish or a guppy.

• 3/4

• 13/36

• 8/9

• 23/36