Download Chapter 10 Probability Study Guide

Name: ___________________________________________ Section: _____
Chapter 10 Probability
Study Guide
1. Determine whether the event is impossible, unlikely, as likely as not, likely, or certain.
Your teacher divides the class into two groups of the same size by picking names at random from the
class, and you will be put in a group.
____________________________
2. A juice company gives prizes to anyone finding specially marked caps on its bottles. You and your
friends buy 53 bottles of juice. You find 2 of the bottles have a winning cap. What is the
experimental probability of winning a prize in the contest? Express your answer as a fraction in
simplest form.
a. 53
c. 51
2
b.
53
51
53
d.
2
53
3. Tom plays on the school basketball team. The table shows the team’s results and Tom’s results for
each game. What is the experimental probability that the basketball team will score fewer than 93
points in the next game? Express your answer as a fraction in simplest form.
Game
Team’s Total
Tom’s Points
Points
1
91
14
2
70
11
3
73
13
4
100
13
5
102
19
6
78
10
7
81
19
a.
7
2
c.
5
7
b.
7
5
d.
2
7
4. Denise has 4 coins. If Denise flips all the coins at once, how many outcomes are in the sample
space?
________ Outcomes
Name: ___________________________________________ Section: _____
5. A combination lock like the one shown has three dials. Each of the dials has numbers ranging from 0
to 4. How many different combinations are possible with the lock?
________ Outcomes
6. A carnival has a duck-pond booth. You choose a rubber duck at random. The mark on the bottom of
the duck tells you whether you won a small, medium, or large prize, or no prize at all. There are 65
ducks floating in the pond. There are 3 ducks marked as large-prize winners, 13 ducks marked as
medium-prize winners, and 21 ducks marked as small-prize winners. Find the theoretical probability
of winning a medium prize at the duck pond. Express your answer as a decimal. If necessary, round
your answer to the nearest thousandth.
7. Based on a sample survey, a company claims that 75% of their customers are satisfied with their
products. Out of 1,176 customers, how many would you predict to be satisfied?
8. If you roll a number cube 54 times, how many times do you expect to roll a 6?
9. An airplane flight has 228 seats. The probability that a person who buys a ticket actually goes on that
flight is about 95%. If the airline wants to fill all the seats on the flight, how many tickets should it
sell?
Name: ___________________________________________ Section: _____
10. A school has 5 different after-school activities planned in the fall. Bill has time to participate in 2 of
these activities. How many different pairs of after-school activities can Bill choose from the
available activities?
11. An experiment consists of rolling two fair number cubes. Make an organized list of the sample space
of rolling two dice. What is the probability of rolling a 1’s? Express your answer as a fraction in
simplest form.
12. An experiment consists of rolling two fair number cubes. What is the probability that the sum of the
two numbers will equal 8? Express your answer as a fraction in simplest form.
a.
5
36
b.
13
36
c.
31
36
d.
36
5
13. A deli offers a lunch-special that comes with soup, a sandwich, and a dessert. The soup choices are
tomato or onion, the sandwich choices are ham, chicken, tuna, or pastrami, and the dessert choices
are cake or pie.
a.
List all possible lunch-special combinations.
b.
What is the size of the lunch-special sample space? Explain your answer.
Name: ___________________________________________ Section: _____
14. In a standard deck of 52 playing cards, there are equal numbers of cards in each of the four suits of
hearts, diamonds, spades, and clubs. A standard deck of cards is shuffled and spread out on the table
face down. If you randomly select a card, what is the theoretical probability you will select a king?
Express your answer as a percent and show your work.
15. If Brian spins the spinner 48 times, how many times should he expect the spinner to land on the
number 7? Show your work.
8
1
7
2
6
3
5
4
16. A salad bar has cucumbers, carrots, broccoli, and onion available as toppings. Roger wants 2
different toppings on his salad. How many possible 2 topping combinations can Roger choose?
Show your work, or explain in words how you determined your answer.
17. Josh works at the local deli making sandwiches. Each sandwich has one type of cheese and one type
of meat on bread. The deli has white, wheat, and rye bread available. The meat choices are turkey
and ham, and the cheese choices are American and Swiss.
Make an organized list of all the combinations and write the total possible outcomes.