Probability and Counting Principles

How many total outfit options are represented?

• 12
• 22
• 3

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

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

• 1/8

• 1/₂

• 1/₁₀

• 2/₁₀

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

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Draw a tree diagram in your math workbook.  Then answer this question.  Jackie is picking out a new skateboard. The board can be dark brown or gray, and the wheels can be orange, green, pink, or yellow. The decal on the skateboard can be a tiger, a diamond, a bear, or an eagle. How many different combinations does Jackie have to choose from?

• 3 combinations
• 8 combinations 
• 16 combinations
• 32 combinations

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

P(not A) = 
*Remember to simplify.*

• 6/8
• 3/4
• 2/8
• 1/4

P(odd and A)

• 1/4
• 1/2
• 2/5
• 1/8

There are 10 counters in a bag, 3 red and 7 blue.

I take one counter, then another without replacement.

Find the probability of the value marked y

• ⁷/₁₀

• ³/₁₀

• ⁶/₉

• ²/₉

Which tree diagram has the most possible outcomes?

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