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Chapter 9 Test Study Guide
Refer to the following scenario for questions 1-3: A bag of jolly ranchers contains 12 grape, 18
watermelon, 15 cherry, and 15 green apple jolly ranchers. Suppose that the jolly ranchers are replaced
with each pull (the owner of the bag isn’t hungry for the candy; the person just loves probability ).
1) Find the theoretical probability of drawing a grape-flavored candy.
2) Describe the complementary event to the event in question 1 and find its probability.
3) Find the experimental probability of drawing a green apple jolly rancher if, after 200 pulls, you select
80 green apple jolly ranchers.
4) Drew spun a spinner with 5 equal sections 75 times. Each section of the spinner was a different color.
One of the colors was blue. The outcome of “blue” occurred 30 times. Compare the theoretical to the
experimental probability of spinning blue.
For questions 5-9, suppose you have a standard deck of cards. Find the probability of each event
in simplest form.
5) P (spade)
6) P (composite number)
8) P (1)
9) P (red or black card)
7) P (not an ace)
10) The table below shows the kinds of homes offered by a residential builder.
a) Draw a tree diagram and find the sample space for the different options for a home’s number of
bedrooms, kitchen style, and porch type.
Number of
Bedrooms
5-bedroom
4-bedroom
3-bedroom
Style of
Kitchen
Mediterranean
Contemporary
Southwestern
Type of
Porch
Open
Screen
b) If the builder offers a discount on one home at random, find the probability it will be a 4-bedroom
home with an open porch.
11) Find the probability of choosing a vowel from the word KINDLE and a consonant from the word
BOOK.
12) Find the total number of outcomes in the sample space of tossing a dime, a quarter, a penny,
and rolling a number cube.
13) A. Stew Dent must take a science, English, math, history, and language course next year. If he has
four science classes, two English classes, three math classes, four history classes, and two language
courses to choose from, how many total possible outcomes are there for his schedule?
14) Caroline is going to Sundae-Funday for her birthday. She has a choice of 3 different sizes, 8
different flavors of ice cream, and several toppings. If there are 288 ways to create a one-topping
sundae, how many topping choices does she have?
For questions 15-16, find the value of the following expressions.
15)
12! = ________________
16) P (8,5)
= _______________
For questions 17 – 18, find the total possible outcomes for each situation.
17) How many ways can you arrange the letters in the word NUMBERS?
18) How many ways can a family of five arrange themselves in a line for a family portrait?
19) Milos and Maui have 40,320 different ways that they can open their birthday presents. How many
presents did they receive for their birthday?
20) Employees at a company are given a five-digit employee identification code. If each digit cannot be
repeated, how many different codes are possible?
21) Jason is dealt five playing cards. In how many different orders could Jason have been dealt the same
hand?
For questions 22 – 23, use the spinner to find each probability in simplest form.
22) The spinner is spun twice. Find P(1, 6).
23) The spinner is spun three times. Find P(odd, prime, 3).
24) A bowl contains 8 pennies, 7 nickels, and 10 dimes. Elyse removes one coin at random from the
bowl and does not replace it. She then removes a second coin at random. What is the probability that
both will be nickels?
25) There are 26 prize tickets in a bowl, labeled A to Z. What is the probability that a prize ticket with a
vowel will be chosen, not replaced, and then another prize ticket with a vowel will be chosen? Does this
represent an independent or dependent event? Explain.
26) SNACKS An ice cream parlor offers 12 flavors of ice cream. Describe a model that could be used to
simulate randomly selecting a certain type of ice cream.
27) CARNIVALS Players at a carnival game win about 40% of the time. Describe a model that
could be used to simulate the outcomes of playing this game.
28) A sports company randomly sends out various cards of 8 different sports.
a) Describe a model that could be used to simulate which sport would be sent out. Explain.
b) How could this simulation be used to determine the sport of the next 20 cards the company
sends out.