Name: ___________________________________
Date: ___________________ Period: _______________
UNIT 1 ASSESSMENT: PROBABILITY FORM A
PART A: MULTIPLE CHOICE QUESTIONS (75 pts/3 each)
1. Nick has a box containing 12 blue tiles, 2 green tiles, and 6 red tiles. If he reaches into the box
without looking and draws out a tile, what is the probability that the tile will be red? P(red)
A. 1
B. 3
C. 3
D. 1
4
10
7
3
2. What is the probability of rolling two standard number cubes and getting a number greater
than 2 on the first cube and a number less than 2 on the second cube? P(#>2 and #<2)
A. 1
B. 2
C. 5
D. 1
9
9
6
3. How many outcomes are there for rolling a standard number cube and spinning a spinner with
eight equal sections numbered 1-8?
A. 1
B. 48
C. 14
D. 8
4. How many outcomes are there for tossing a penny, a nickel, and a dime?
A. 4
B. 8
C. 16
D. 32
5. Four runners are in a race. If they all finish at different times, in how many ways can they
finish the race in 1st, 2nd, 3rd and 4th place?
A. 10
B. 4
C. 16
D. 24
6. You roll a standard number cube and flip a coin. What is the probability that you will get a
prime number on the number cube and then a heads on the coin?
P(prime and heads)
A. 1
B. 1
C. 1
D. 1
2
3
4
8
7. Kim has 8 vanilla candles, 4 cherry candles and 6 raspberry candles. How many choices of
candles does Kim have to choose from?
A. 18
B. 192
C. 10
D. 32
8. What is the probability of reaching in a standard deck of cards and pulling out a 3 or 10?
P(3 or 10)
A. 2
B. 13
C. 2
D. 10
52
52
13
13
9. An ice cream shop makes sundaes with chocolate or vanilla flavors, and sprinkles, fudge or
caramel toppings. Which tree diagram shows all possible flavor combinations of sundaes with
one flavor of ice cream and one topping?
A.
chocolate
vanilla
sprinkles
fudge
caramel
B.
chocolate
sprinkles
fudge
caramel
C.
vanilla
D.
ice cream
topping
chocolate
vanilla
sprinkles
fudge
caramel
fudge
sprinkles
fudge
caramel
ice cream
topping
fudge
sprinkles
ice cream
topping
caramel
ice cream
topping
10. Dingler's Deli offers 3 types of meats, 4 types of soups and 2 types of salads. How many
items do you have to choose from on the menu?
A. 24
B. 9
C. 3
D. 14
11. A bag contains three red, two white, and three black marbles. What is the probability of
reaching in the bag and getting a purple marble? P(purple)
A. 0
B. 1
C. 3
D. 1
8
4
12. What is the P(not 1) on a standard number cube?
A. 1
B. 0
C. 5
6
6
D. 1
13. There are 28 pieces of white chalk and 14 pieces of colored chalk in a tub. What is the
probability of not selecting a piece of colored chalk? P(not colored)
A. 14
B. 19
C. 1
D. 2
42
21
3
3
14. In how many different ways can Paul arrange 6 pictures in a line on the wall?
A. 720
B. 120
C. 36
D. 6
15. How many different outcomes are possible for spinning the spinner and tossing the coin?
1
32
A. 4
3
B. 3
C. 6
D. 9
16. What is the sample space for spinning a spinner with the colors blue, red, green and yellow
and flipping a coin?
A. S={BH, RH, GH, YH}
B. S= {BT, RT, GT, YT}
C. S={B, R, G, Y, H, T}
D. S= { BH, RH, GH, YH, BT, RT, GT, YT}
17. A box contains 2 red, 4 blue, and 6 white buttons. What is the probability you will reach in
the box and pull out a blue button, replace it, and then reach in the box and pull out a red
button? P(blue and red)
A. 1
B. 1
C. 1
D. 2
3
18
6
18. Each spinner is spun once. What is the probability that you will get an even number and a
vowel? P(even and vowel)
11 2
3
A. 1
10
B. 1
7
4
A
B
B
B
C
C. 3
9
D. 2
9
19. What is the sample space for rolling a number cube and flipping a coin?
A. S={ H, T, 1,2,3,4,5,6}
B. S={ H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}
C. S= {H, T}
D. S={H,1,2,3,4,5,6, T,1,2,3,4,5,6}
20. Which of the following tree diagrams shows the different combinations of 2 sodas: coke and
sprite and 3 snacks: crackers, pretzels and raisins and 2 candy bars: twix and reeses cup
A.
coke
sprite
C.
crackers
pretzels
raisins
sprite
crackers
crackers
pretzels
raisins
twix
coke
B.
crackers
pretzels
raisins
reeses cup
twix
pretzels
crackers
pretzels
raisins
crackers
pretzels
raisins
reeses cup
crackers
pretzels
raisins
D.
coke
twix
sprite
reeses cup
coke
twix
sprite
reeses cup
coke
soda
snacks
sprite
crackers
pretzels
raisins
21. What is the probability of rolling a number cube and getting a number less than 7?
P( # < 7)
D. 1
A. 1
B. 0
C. 5
6
6
22. The Bremen City School System is opening an all girls academy next school year. The girls
will have an opportunity to wear various clothing items as part of their uniform.
TOPS
PANTS
SHOES
Green shirt
Khaki pants
Dress shoes
Yellow shirt
Blue jeans
White tennis shoes
Black pants
If the girls choose one top, one pant, and one pair of shoes, how many different ways can they
wear their uniform?
A. 6
B. 12
C. 30
D. 7
23. ______________________ is a list of all the possible outcomes of a given event.
A. event
B. sample space
C. complement
D. tree diagram
24. ______________________ is the number of favorable outcomes divided by the number of
total possible outcomes.
A. event
B. sample space
C. probability
D. compound event
25. An event that CANNOT occur is called ______________________.
A. impossible
B. outcome
C. certain
D. likely
BONUS #1: 3 points (Bubble in on #26 on scan card.)
Use the spinner below to answer the question.
4
1
3
2
Sue was asked to find the probability of the spinner landing on an odd number.
David was asked to add two more sections to the spinner so that all six sections were the same
size. Four of the sections were labeled using the same numbers shown in the spinner above, the
two new sections were both labeled with a "5". He was asked to find the probability of the new
spinner landing on an odd number. Which of the following is a true statement about the
relationship between Sue's spinner and David's spinner?
A. The number of possible outcomes on Sue's spinner is equal to the number of possible
outcomes on David's spinner.
B. The probability of landing on an odd number using Sue's spinner is greater than the
probability of landing on an odd number using David's spinner.
C. The probability of landing on an odd number using Sue's spinner is less than the probability of
landing on an odd number using David's spinner.
D. The number of possible outcomes on David's spinner is six.
PART B: FREE RESPONSE (25 pts total)
Answer each question below. SHOW ALL WORK!!!!!!!!!!
1. Make a tree diagram for the following problem. How many outcomes are there? (You may
abbreviate.) 10 points
Joe’s Pizza offers 3 pizza choices: cheese, pepperoni or a supreme, with 2 salad choices: taco or
grilled chicken and 3 drink choices: tea, water or Mountain Dew.
2. You flip a coin three times. What is the probability of getting all heads? 5 points
3. Students at BMS have an ID code that consists of 1 letter followed by 4 digits. How many
possible ID codes are there for BMS students? Show your work!!!! 5 points
4. Ms. Wilson is arranging 8 books on a library shelf. How many different possibilities are there
for Ms. Wilson to arrange the books? Show your work!!!!! 5 points
BONUS #2: 3 points
What is another name for the Multiplication Counting Principle? ___________________ CP
PART C: DISCUSSION (10 points each)
5. Explain when you would need to draw a tree diagram instead of using the Multiplication
Counting Principle?
6. What does it mean for a game to be fair? Explain.