Probability of Compound Events and Sample Space

Aron has a bag of marbles that contains three red (R) marbles, four green (G) marbles, and three blue (B) marbles

Which expression represents the probability of randomly selecting a green (G) marble, replacing it, and then randomly selecting a red (R) marble?

Latricia determines that the probability of spinning an even number and then a 3 on the spinner below is

Which best describes the accuracy of Latricia’s solution?

• Latricia’s solution is accurate.

• Latricia’s solution is inaccurate. Her solution describes the probability of spinning an even number or a 3 in the same spin.

• Latricia’s solution is inaccurate. Her solution uses the correct probability of spinning an even number, but it uses to describe the probability of spinning a 3.

• Latricia’s solution is inaccurate. Her solution uses the correct probability of spinning a 3, but it uses to describe the probability of spinning an even number.

How many possible outcomes are there when Sharya spins the spinner shown below twice?

• 2

• 6

• 12

• 36

Each section of a spinner is labeled with a unique number and is the same size and shape as the other sections. The spinner is spun two times. The number of possible outcomes is 16. How many sections is the spinner divided into?

• 2

• 4

• 8

• 16

A code is made up of a letter (A–Z) and two digits (0–9). The digit can be repeated. How many possible codes exist?

• 2600

• 260

• 46

• 28

There are four blue marbles, an unknown number of red (r) marbles, and six yellow marbles in a bag. Which expression represents the probability of randomly selecting a blue marble, replacing it, and then randomly selecting a red marble?

How many possible outcomes exist when four fair coins are flipped?

• 2

• 4

• 8

• 16

A numerical pass code is required to open a car door. The pass code is five digits long and uses the digits 0–9. Numbers may be repeated in the pass code. How many different pass codes exist?

• 3,125

• 10,000

• 59,049

• 100,000

Evelyn has a bag containing red (R), blue (B), and green (G) marbles as shown below.