Probability Review

Tara has two bags of marbles. The first bag contains 6 red marbles, 5 blue marbles, and 4 green marbles. The second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag.

What is the probability that Tara will select a blue marble from each bag?

• 5/9

• 1/135

• 1/6

• 2/27

Rachel is setting up tables for a party. Four of the tables are covered with red tablecloths, and eight of the tables are covered with white tablecloths. Guests will be randomly seated at the tables when they arrive. Each table can seat 8 guests.

What is the probability that the first guest to arrive will be seated at a table with a red tablecloth?

• 1/2

• 1/3

• 1/4

• 1/8

Gabriel has these cans of soup in his kitchen cabinet.

• 2 cans of tomato soup

• 3 cans of chicken soup

• 2 cans of cheese soup

• 2 cans of potato soup

• 1 can of beef soup

Gabriel will randomly choose one can of soup. Then he will put it back and randomly choose another can of soup. What is the probability that he will choose a can of tomato soup and then a can of cheese soup?

• 2/5

• 2/45

• 1/25

• 1/5

A classroom is arranged with 8 seats in the front row, 10 seats in the middle row, and 12 seats in the back row. The teacher randomly assigns seats to students as they enter the classroom. What is the probability that the first student who enters the classroom will be assigned a seat in the front row?

• 2/5

• 2/3

• 4/11

• 4/15

On Roberto’s shelf are:

• 6 mystery books

• 5 science books

• 4 history books

• 3 adventure books Roberto will randomly choose 1 book to read.

What is the probability that he will choose an adventure book?

• 1/3

• 1/18

• 1/5

• 1/6

A number cube with faces labeled from 1 to 6 was rolled 20 times. Each time the number cube was rolled, the number showing on the top face was recorded. The table shows the results. Based on these results, what is the experimental probability that the next time the number cube is rolled it will land with 5 or 6 showing on the top face?

• 2/5

• 3/20

• 1/3

• 3/5

Mildred has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. She will randomly select 2 coins from the bag one at a time without replacement. What is the probability that Mildred will select a dime first and then a penny?

• 83/120

• 11/16

• 5/128

• 1/24

Kelly has recorded the results of rolling two fair number cubes and getting their sum on the line plot below. What is the difference in the theoretical probability of getting a sum of 12 and the experimental results shown in the line plot?

• 0

• 1/18

• 1/36

• 17

Philip spun a spinner with six sections 125 times and the results are shown in the table below.

What is the experimental probability of spinning a green?

• 14%

• 10%

• 15%

• 12%

Janice rolls a fair number cube sixty times. She rolled the number four 12 times. What is the experimental probability of rolling the number four?

• 0.6

• 0.2

• 0.3

• 0.5