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### Probability

Unit Test Review

Question

What is the probability that the total shown on two dice is less than or equal to 6?

Answer

5/12

Question

15 out of 45 students who went on the Art Trip ordered chicken sandwiches for lunch. If 135 students go on the trip, how many can be expected to order chicken sandwiches for lunch?

Answer

45

Question

A drawer contains 20 black socks and 10 white socks. Two socks are drawn WITHOUT replacement. Find P(black, black).

Answer

38/87

Question

A drawer contains 20 black socks and 10 white socks. Two socks are drawn WITH replacement. Find P(black, black).

Answer

4/9

Question

A drawer contains 20 black socks and 10 white socks. Three socks are drawn WITHOUT replacement. Find P(black, white, black).

Answer

95/609

Question

A researcher conducted a survey of

324 high school students and found

that 54 of them were enrolled in

advanced chemistry. What is the

probability that a randomly selected

student is enrolled in advanced

chemistry?

Answer

54/324 =1/6

Question

There is a jar with 10 nickels and

5 dimes. If two coins are chosen at

random, what is the probability of

choosing first a nickel and then a

dime?

Answer

5/21

Question

Six people called a radio talk show:

two lawyers, two doctors, a

veterinarian, and an accountant.

What is the probability that a randomly

selected caller is not a doctor?

Answer

2/3

Question

A fair die is rolled twice. What is the

probability of getting 4 the first time

but not the second?

Answer

5/36

Question

Karleen made a snack mix by

mixing 30 raisins, 45 peanuts, and

15 marshmallows. If she randomly

selects two pieces from her snack

mix, what is the probability they will

both be peanuts?

Answer

22/89

Question

An experiment consists of rolling two fair dice. Find P(total shown 5).

Answer

1/9

Question

Determine if the events are dependent or independent.

rolling a die and then flipping a coin

Answer

independent

Question

A box contains 3 red marbles, 6 blue marbles, and 5 green marbles.

Find P(red then green) if a marble is selected, then a second marble is selected without replacing the first marble.

Answer

15/182

Question

A box contains 3 red marbles, 6 blue marbles, and 5 green marbles.

Find P(red then green) if a marble is selected and replaced, then a second marble is selected.

Answer

15/196

Question

During the last ski season, Chad recorded the number of runs he took on Beginner, Intermediate, and Advanced slopes. What is the probability that Chad skis a Beginner slope on his next run?

Beginner 18

Intermediate 89

Advanced 225

Answer

9/166

Question

There are 5 choices for a multiple choice question. What is the probability that you will guess the correct answer?

Answer

1/5

Tyler has made 65 out of his last 150 free throw attempts. What is the probability that he will make his next free throw?

65/150 = 13/30 What is the probability that he will make his next free throw?

A game spinner was spun 500 times. It was found that A was spun 170 times, B was spun 244 times, and C was spun 86 times. What is the probability of the spinner landing on A?

170/500 = 17/50 spun 170 times, B was spun 244 times, and C was spun 86 times. What is the probability of the spinner landing on A?

An experiment consists of rolling 2 fair dice. What is the probability of rolling a sum = 10?

3/36 = 1/12 probability of rolling a sum = 10?

An experiment consists of rolling 2 fair dice. What is the probability of rolling a sum less than 5?

6/36 = 1/6 probability of rolling a sum less than 5?

Question probability of rolling a sum less than 5?

A password contains a letter followed by 3 digits. What is the probability that the password does not contain an S or a W?

Answer probability of rolling a sum less than 5?

12/13

A password consists of 2 letters followed by 3 digits. Find the number of possible passwords.

676,000 the number of possible passwords.

An employee identification number consists of 3 letters followed by 2 digits. Find the probability that the id number does not contain the number 8.

1,423,656/1,757,600 = 81/100 followed by 2 digits. Find the probability that the id number does not contain the number 8.

An interior-decorating catalog offers a chair in a dark, light, or oak finish, with a choice of a tan, black, or cream seat cover, and in regular or tall height. How many different chairs are available?

18 different chairs light, or oak finish, with a choice of a tan, black, or cream seat cover, and in regular or tall height. How many different chairs are available?

You flip a coin 3 times. light, or oak finish, with a choice of a tan, black, or cream seat cover, and in regular or tall height. How many different chairs are available?

Find P(H,H,H).

1/8 light, or oak finish, with a choice of a tan, black, or cream seat cover, and in regular or tall height. How many different chairs are available?

You flip a coin 3 times. light, or oak finish, with a choice of a tan, black, or cream seat cover, and in regular or tall height. How many different chairs are available?

Find P(H,H,T).

1/8 light, or oak finish, with a choice of a tan, black, or cream seat cover, and in regular or tall height. How many different chairs are available?

You spin a spinner with 3 even sections (one red, one blue, and one yellow). You then roll a regular number cube. Find P(red, prime).

3/18 = 1/6 and one yellow). You then roll a regular number cube. Find P(red, prime).

You spin a spinner with 3 even sections (one red, one blue, and one yellow). You then roll a regular number cube. Find P(red or blue, 5).

2/18 = 1/9 and one yellow). You then roll a regular number cube. Find P(red or blue, 5).

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