Estimating Probabilities of Compound Events

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?

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.

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.

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.

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?

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.

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.

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?

• 2/12
• 1/2
• 1/12
• 1/24