Chapter 8 Review

What is the definition of sample space?

• A number between 0 and 1 that expresses the likelihood an event will occur.

• One or more possible outcomes of an experiment.

• All possible outcomes of an experiment.

• The outcomes not in an event.

Which of the following are true? Check all that apply.

• If P(x) is the probability of an event, then $0\le P\left(x\right)\le1$

• The probability of an event cannot be 0.

• The $P\left(A\cup B\right)$ is always equal to $P\left(A\right)+P\left(B\right)$

• The $P\left(A\cap B\right)$ is equal to $P\left(A\right)\cdot P\left(B\right)$ when two events are independent.
  

• If A' is the complement of A, then P(A') = 1 - P(A).

One letter is chosen at random from the word CALCULUS. What is the probability of choosing the letters L or C?

• 0.125

• 0.25

• 0.4

• 0.5

Work out the value of $a$   .

• 0.1

• 0.133

• 0.2

• 0.4

Calculate the probability of rolling a number less than 5.

• 0.2

• 0.6

• 0.7

• 0.9

Find the probability of not rolling a 5.

• 0.1

• 0.2

• 0.8

• 0.9

A spinner contains the numbers 1-4. You spin the spinner twice, multiply the numbers, and record the product. Draw a sample space diagram to represent the possible outcomes. List the elements in the sample space.

• U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

• U = {2, 3, 4, 5, 6, 7, 8}

• U = {1, 2, 3, 4, 6, 8, 9, 12, 16}

• U = {0, 1, 2, 3, 4, 5, 6, 7}

A spinner contains the numbers 1-4. You spin the spinner twice, multiply the numbers, and record the product.

Use your sample space diagram to determine the likelihood that the product of your numbers is an even number.

A spinner contains the numbers 1-4. You spin the spinner twice, multiply the numbers, and record the product.

Since the likelihood that the product is an even number is 0.75, how many times would you expect to spin an even number if you repeated the process 220 times?

In a group of 20 girls, 13 take history and 8 take economics. Three girls take both history and economics, as shown in the following Venn diagram. The values p and q represent numbers of girls.

Find the value of p and q.

• p = 10 and q = 2

• p = 10 and q = 5

• p = 13 and q = 4

• p = 13 and q = 0