Calculating Probabilities of Compound Events

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

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.

You spin this spinner 3 times.
Find the probability of these 3 events.
P(red, odd, 3)

• 1/216

• 1/72

• 1/36

• 1/12

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black) (a)  

• 1/18

• 2/5

• 3/7

• 4/9

What is the probability of rolling a 3 and spinning a red?

• 1/6

• 1/4

• 1/10

• 1/24

What is the probability of drawing a blue color and a number 4?

• 2/5

• 1/6

• 3/15

• 1/15

The sample space tree diagram for a team of three students is shown.  What is the probability that the team would consist of at least 2 girls?

• ½

• ⅜

• ¾

• ⅙

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.