Probability and Set Theory

Theoretical P(Green or Red)

• 2/6

• 1/5

• 2/5

• 1/5

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

Theoretical P(King)

• 2/8

• 1/8

• 3/8

• 1/4

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

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?

• $\frac{1}{22}$

• $\frac{6}{11}$

• $\frac{9}{16}$

• $\frac{21}{22}$

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

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?

• $\frac{3}{20}$

• $\frac{1}{6}$

• $\frac{15}{56}$

• $\frac{8}{15}$

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

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

Tags

CCSS.3.OA.A.1

CCSS.3.OA.A.3

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

Tags

CCSS.7.EE.B.3

CCSS.4.OA.A.3

CCSS.3.OA.D.8

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

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.6

CCSS.7.SP.C.7

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

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

CCSS.7.SP.C.8

The spinners are spun and the values are added together, What is the probability the sum is equal to ... 10?

• 0

• 1/2

• 4/9

• 1/3

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7

Paulina plays both volleyball and soccer. The probability of her getting injured playing volleyball is 0.1

The probability of her getting injured playing soccer is 1/10

.

Which of these events is more likely?

• Paulina gets injured playing volleyball.

• Paulina gets injured playing soccer.

• Neither. Both events are equally likely.

Tags

CCSS.7.SP.C.5

CCSS.7.SP.C.7