Sample Sizes & Possible Outcomes

Imagine that a family of three (Adam, Brazil, and Claudia) plays bingo every night. Each night, the chance that any one of the players will win is $\frac{1}{3}$ . Based on the tree diagram, what is the probability that Claudia wins at least one of the two nights? 

•  $\frac{5}{9}$  

•  $\frac{4}{9}$  

•  $\frac{1}{2}$  

•  $\frac{1}{3}$  

•  $\frac{3}{8}$  

W's on the tree diagram represent winning and L's represent losing over the course of two days. What is the probability that someone would win on both Monday and Tuesday?

• 25%

• 0.22

• $\frac{1}{8}$

• 0.5

• 15%

A family randomly decides whether to play a board (B) or card (C) game on Monday and Tuesday. What is the probability that the family will play a board game at least one of the two days?

• 0.75

• 7.5%

• $\frac{1}{4}$

• 25%

• $\frac{1}{6}$

Kenyon is playing a game in which he has to choose one of three numbers ​(3, 4, or 7) and then one of five vowels​ (a, e,​ i, o, or​ u). Which tree diagram could be used to correctly represent all possible outcomes?

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A bakery sells white​, rye, multi-grain​, and oat bread. Each type of bread is available as a round loaf or as dinner rolls. What number describes the types of baked bread available at the bakery?

A new car can be purchased with a choice of two exterior colors (L and M) and five interior colors (1, 2, 3, 4, and 5). Which answer choice represents an organized list of all the possible color combinations of the car?

• (L, 1), (M, 2)

• (L, 1), (L, 2), (L, 3), (L, 4), (L, 5), (M, 1), (M, 2), (M, 3), (M, 4), (M, 5)

• (L, 1), (L, 2), (L, 3), (L, 4), (L, 5), (L, 1), (L, 2), (L, 3), (L, 4), (L, 5)

• (L, M), (1, 2), (1, 3), (1, 4), (1, 5)

Two friends at a restaurant each order a fruit drink. The available flavors are orange (O), peach (P), or kiwi (K). Which list represents the sample space?

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Plastic souvenir cups come in two different sizes: small (S) and large (L). The available colors are purple (P), blue (B), and green (G). Which list represents all the possible combinations of the different cups based on size and color?

• (S, P), (S, B), (S, G), (S, P), (S, B), (S, G), (S, P), (S, B), (S, G)

• (S, L), (P, B), (P, G), (B, G)

• (S, P), (S, B), (S, G), (L, P), (L, B), (L, G)

• (S, R), (L, W)

Dennia's older sister needs to take either Physics, Algebra, or Chemistry this year. She can take the class during any one of six periods (1 through 6). What are the total number of possible schedules?

What is the sample space when rolling two dice?