Sample Space Compound Events

What is sample space?

• All of the Outcomes

• What Will Happen

• What Can Happen

• What I want to Happen

The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which is the complete set of possibilities of combinations?

• TW, CW, PW

• TW, TM, TW, CW, PW

• TW, TM, CW, CM, PW, PM

Find the total number of outcomes in the sample space:

12. Choosing water, iced tea, or lemonade; with lemon or lime twist; served in a small or large glass

• 7

• 6

• 12

• 18

What is the probability that you will get plain crust with ham on your pizza?

• 1/8

• 1/₂

• 1/₁₀

• 2/₁₀

• F

• G

• H

• J

When two six-sided dice are rolled there are 36 outcomes. Find the probability that the sum is NOT 4.

You pick a marble from this bag.

What is the probability you will choose either a black or a white marble?

*remember to simplify*

• 3/5

• 4/10

• 3/10

• 8/10

If two dice are rolled one time, what is the probability of NOT getting doubles?

• 1/6

• 5/6

• 1/12

• 1/10

The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which shows the complete set of possible combinations?

• TW, CW, PW

• TW, TM, TC, CW, PW

• TW, TM, CW, CM, PW, PM

• TCP, MW

Based on the tree diagram, what is the probability of eating a salad with juice?

• 6/12

• 1/2

• 3/12

• 1/4