Probability Quiz Review (Lessons 1-3)

Let A be the even that a student plays sports as their favorite after-school activity. Answer the following question.

•  $P\left(A\right)=\frac{15}{122}$  

•  $P\left(A'\right)=\frac{107}{122}$  

•  $P\left(A'\right)=\frac{33}{122}$  

•  $P\left(A\right)=\frac{11}{61}$  

Write the complement of the following event: Rolling a prime number on a die.

• Rolling an even number

• Not rolling a composite

• Not rolling a prime number on a die

• Rolling a prime number on a die

Write the complement of the following event: Drawing a queen from a deck of cards.

• Not drawing a queen from a deck of cards

• Drawing a king from a deck of cards

• Not drawing a king from a deck of cards

• Drawing a queen from a deck of cards

Write the complement of the following event: Choosing a random WL soccer player who plays goalie

• Not choosing a random WL soccer player who plays goalie

• Choosing a random WL soccer player who doesn't play goalie

• Choosing a random WL soccer player who doesn't play soccer

• Choosing a random WL soccer player who plays goalie

Suppose a probability experiment involves drawing a card from a deck of cards and recording the suit, THEN flipping a coin. What is the sample space? (Hint: Draw a tree diagram to help answer this question. Let H= heart and h= heads)

• S = {Hh, HT, Dh, DT, Ch, CT, Sh, ST}

• S = {hH, TH, hD, TD, hC, TC, hS, TS}

• S = {Ah, 1h, 2h, 3h, 4h, 5h, 6h, 7h, 8h, 9h, 10h, Jh, Kh, Qh, AT, 1T, 2T, 3T, 4T, 5T, 6T, 7T, 8T, 9T, 10T, JT, KT, QT}

• S = {H, T, C, S}

Answer the following questions.

• $P\left(primary\right)=\frac{1}{2}$ and $P\left(not\ purple\right)=\frac{5}{6}$

• $P\left(primary\right)=\frac{1}{6}$ and $P\left(not\ purple\right)=\frac{1}{6}$

• $P\left(primary\right)=\frac{2}{3}$ and $P\left(not\ purple\right)=\frac{1}{2}$

• $P\left(primary\right)=\frac{1}{2}$ and $P\left(not\ purple\right)=\frac{1}{2}$

Suppose you go to a pizza place to order a pizza. There are 2 choices for crusts, 2 choices for sauce, 3 choices for cheese, and 8 choices for toppings. How many different pizzas can you create if you can only order one-topping pizzas?

• 15 different pizzas

• 36 different pizzas

• 96 different pizzas

• 672 different pizzas