Find Probabilities of Compound Events

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)  

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.

Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green? (Multiple probabilities = Multiply)

• 1 / 16

• 1 ⁄ 6

• 1 ⁄ 8

• 3 ⁄ 4

A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll?

• 2/3

• 5/36

• 1/9

• 1/36

You roll a six sided die. What is the probability of rolling an even number three times in a row? (Multiply probabilities = multiply)

• 3/100

• 1/2

• 1/6

• 1/8

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3?

• 1/12

• 1/4

• 1/8

• 1/2

To find the probability of 2 or more events, you have to ________ the probability of each event.

• multiply

• divide

• add

• subtract