Compound Events and the Fundamental Counting Principle Answers

A bag contains 15 marbles. The probability of randomly selecting a green marble is . The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is . What is the probability of randomly selecting a red marble?

A coin is tossed, and a four-section spinner is spun once. The tree diagram shows the possible outcomes for the two events. What is the probability of flipping tails on the coin and spinning a 2 on the spinner?

A six-sided number cube is labeled with the numbers 1–6, one number on each face. Each number is used exactly once. How many possible outcomes exist when the cube is rolled two times?

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?

Cameron flips two coins and then spins the spinner below. What is the probability of having two different outcomes on the coins and spinning an odd number?

How many possible outcomes exist when Louisa spins the spinner below twice?

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 two fair coins are flipped and a three-section spinner is spun?

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?

Camila flips a fair coin two times and then spins a four-section spinner. How many possible outcomes exist?

Three marbles, one red (R), one yellow (Y), and one blue (B), are placed in a bag. A fair coin is flipped, and then a marble is drawn out of the bag at random. A tree diagram of the events is shown below.How many possible outcomes exist?

Evelyn has a bag containing red (R), blue (B), and green (G) marbles as shown below. If each marble is replaced after it is drawn, what is the probability of randomly drawing three consecutive red (R) marbles?