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Name__________________________hour___
Math 7 Final Exam Review (probabilities)
Read each question carefully before you attempt to answer it. Be sure to show all your work for credit!
1) (7.SP.5) A ratio that compares the number of favorable outcomes to the number of possible outcomes.
a) Probability
b) Unit rate
c) Permutation
d) Possible outcome
2) (7.SP.5) Probability can be expressed as a:
a) Fraction
b) Decimal
c) Percent
d) All of these
3) (7.SP.5) Probability can be any number from _________.
a) 1-1000
b) 0-10
c) 1-50
d) 0-1
4) (7.SP.5) There are 6 blue cubes, 3 yellow cubes, and 1 black cube in a sack. If I reach in and pull one
out without looking, what is the probability that I will pull out a blue cube?
a) Probable
b) Not probable
c) Certain
d) Impossible
5) (7.SP.5) There are 6 blue cubes, 3 yellow cubes, and 1 black cube in a sack. If I reach in and pull one
out without looking, what is the probability that I will pull out a green cube? (give answer in fraction,
decimal and percent)
Fraction_________
Decimal______________
Percent_______________
6) (7.SP.5) If you are rolling a 6-sided die, what is the probability that you will roll a 1, 2, 3, 4, 5, or 6?
a)
b)
c)
d)
1/6
0
100%
½
7) (7.SP.6) If you roll a die 90 times about how many times would you expect to roll a 4?
a) 90
b) 30
c) 10
d) 15
8) (7.SP.6) Which is the best estimate of the number of times you would need to roll a 6 sided die in
order to roll a 4 one time?
a) 1
b) 2
c) 4
d) 6
9) (7.SP.6) A fair number cube has sides numbered 1 through 6. When the cube is rolled 100 times,
which event would be MOST likely to occur?
a) All numbers rolled would be odd
b) The number 6 would never be rolled
c) The number 7 would be rolled at least once
d) An even number would be rolled 50 times
10) (7.SP.6) Which of the following is the most correct statement about probability?
a) Theoretical probability is more accurate
b) Theoretical probability involves no actual experimentation
c) Experimental probability is more accurate
d) Experimental probability involves no actual experimentation
11) (7.SP.6) A professional hockey player is practicing by himself during his free time. If the hockey
player shoots a puck towards a net and misses 4 times while scoring a total of 36 times, what is the
experimental probability of him scoring on his next shot?
a)
b)
c)
d)
1
2
4
36
9
10
1
9
12) (7.SP.6) A group of kids is selling pies from door to door. If the kids have sold 32 pies and so far 4 of
them were apple pies, what is the experimental probability that the next pie they sell will be an apple
pie?
1
a) 16
b)
c)
1
32
1
8
d) They have run out.
13) (7.SP.6) If you roll a dice 120 times, will you roll a three 20 times?
a) Definitely, without question
b) Maybe, but probably not
c) No, not a chance
d) Probably, but maybe not
14) (7.SP.6) Theoretical probability is what does happen, while experimental probability is what should
happen.
a) True
b) False
15) (7.SP.6) The spinner is spun 27n times, what is the most logical estimate for the number of time the
spinner would land on red?
a) 7 times
b) 9 times
c) 27 times
d) 3 times
16) (7.SP.6) A dice is rolled 20 times. If a three was rolled for 6 of those times, what is the theoretical
probability of rolling a six the next time?
a)
b)
c)
d)
3
20
1
6
1
2
3
10
17) (7.SP.7b) The main difference between experimental and theoretical probability is :
a) Experimental probability is more accurate, while theoretical probability is not reliable
b) Theoretical probability is more accurate, while experimental is more uncontrolled
c) Theoretical probability is what should happen, experimental is what does happen
d) Experimental probability is more dangerous because you have to undergo unsafe conditions
18) (7.SP.6a) A teacher is looking over a class of students in order to pick someone to solve a question on
the white board. There are 27 students in the class and 18 of them are girls. If the teacher picks a
student at random, what is the chance of a boy being picked if all students have an equal probability to
be picked?
a)
b)
c)
d)
2
3
1
2
1
3
1
9
19) (7.SP.8) Becky is tossing a six-sided number cube. What is the probability of tossing a 6 two times in
a row?
a)
b)
c)
d)
1
36
1
6
1
3
1
2
20) (7.SP.8) The best definition of sample space is
a) The measure of how likely an event will occur
b) The result of an experiment
c) Total amount of possible outcomes
d) An activity involving chance
21) (7.SP.8) You spin the two spinners. How many out comes are possible?
a) 8
b) 15
c) 24
d) 30
22) (7.SP.8) You flip a coin and roll 1 die. How many outcomes are possible?
23) (7.SP.8) You roll 2 dice. How many outcomes are possible?
a) 2
b) 6
c) 12
d) 36
24) (7.SP.8) You roll a die and spin a spinner. How many outcomes are possible?
a) 12
b) 36
c) 48
d) 60
25) (7.SP.8) Sam has 3 shirts, 3 pair shorts, and 2 pair of shoes. How many possible combinations does
Sam have if she wears 1 shirt, 1 pair of shorts, and 1 pair of shoes at a time?