Calculating Probabilities of Compound Events

What is the probability of spinning red two times in a row?

•  $\frac{1}{9}$  

•  $\frac{1}{6}$  

•  $\frac{1}{3}$  

•  $\frac{2}{9}$  

•  $\frac{2}{6}$  

To win a carnival game, a player wins if a coin lands the green section facing heads up. What is the probability that a player will win?

• $\frac{1}{12}$

• $\frac{1}{8}$

• $\frac{2}{12}$

• $\frac{1}{7}$

• $\frac{2}{8}$

One of the three contestants will be randomly selected to win a prize. One of three different prizes will be randomly awarded to the contestant whose name is selected to win. What is the probability that Whitney will win Prize 2?

• $\frac{1}{9}$

• $\frac{1}{6}$

• $\frac{2}{9}$

• $\frac{3}{9}$

• $\frac{1}{12}$

The table shows all the possible outcomes for flipping a coin and spinning the pointer of a spinner with four equal-sized sections labeled 1 through 4. What is the probability that the pointer will stop on 3 and the coin will land on heads? Write your answer as a percentage.

What is the probability that the pointer will stop on an odd number and the coin will land on heads? Write your answer in decimal form.

A fair coin is tossed three times in succession. The sample space is shown, where H represents a head and T represents a tail. Find the probability of getting exactly two heads.

• $\frac{3}{8}$

• $\frac{3}{3}$

• $\frac{2}{8}$

• $\frac{5}{8}$

• $\frac{7}{8}$

The tree diagram shows the sample space of two-digit numbers that can be created using the digits 9, 6, 8, and 7. What is the probability of choosing a number from the sample space that contains both 6 and 7?

• $\frac{1}{6}$

• $\frac{3}{12}$

• $\frac{1}{12}$

• $\frac{1}{9}$

• $\frac{5}{12}$

The table shows the possible outcomes of spinning a fair five-section spinner and tossing a fair coin. Find the probability of spinning a 1 and tossing a tail. Write your answer as a percent.

The sample space of picking a 2 character password using the letters G, R, O, Y, P, and B where double letters are not allowed is shown. Find the probability of choosing a password with one G and one R.

• $\frac{1}{15}$

• $\frac{2}{35}$

• $\frac{1}{30}$

• $\frac{2}{12}$

• $\frac{5}{30}$

A single number cube is rolled twice. The 36 equally-likely outcomes are shown to the right. Find the probability of getting two numbers whose sum is 4.

• $\frac{1}{12}$

• $\frac{4}{36}$

• $\frac{1}{18}$

• $\frac{6}{36}$