Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Answer the question.
1) The probability of rolling an even number on a die is 1 . Does this probability mean that, if you
2
1)
roll the die two times, one even number will appear? If not, what does it mean?
A) No, a probability of 1 tells us nothing.
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B) No. It means that if a die were rolled many times, about 1 of the outcomes would be even
2
numbers.
C) Yes.
D) No, but if the die was rolled 10 times, 5 outcomes would be even numbers.
2) How you would find the empirical probability of rolling a 3 on a die?
A) The empirical probability cannot be determined.
B) Roll a die 1 time and then find the relative frequency of rolling a 3. The relative frequency
would be obtained by dividing the number of times a 3 has occurred by 1.
C) Roll a die many times and then find the relative frequency of rolling a 3. The relative
frequency would be obtained by dividing the number of times a 3 has occurred by the
total number of times the die was tossed.
D) Roll a die 6 times and then find the relative frequency of rolling a 3. The relative frequency
would be obtained by dividing the number of times a 3 has occurred by 6.
Solve the problem.
3) Two coins are tossed 20 times and the number of tails is observed.
Outcome
Frequency
3)
2 tails 1 tail 0 tails
6
8
6
Compute the empirical probability that exactly one tail occurred.
2
7
1
A)
B)
C)
5
10
2
D)
1
4
4) This spinner is spun 36 times. The spinner landed on A 17 times, on B 11 times, and on C 8 times.
Compute the empirical probability that the spinner will land on B.
A)
19
36
2)
B)
1
3
C)
1
11
36
D)
1
4
4)
Estimate the indicated probability.
5) The table shows the number of college students who prefer a given pizza topping.
toppings freshman sophomore
cheese
10
15
meat
21
20
veggie
15
10
junior
18
15
21
5)
senior
20
10
20
Determine the empirical probability that a student prefers cheese toppings. Round to the nearest
thousandth.
A) 0.103
B) 0.317
C) 0.323
D) 0.338
Solve the problem.
6) A pair of fair dice is rolled 50 times and the sum of the dots on the faces is noted.
Outcome 2
Frequency 4
3
9
4
1
5
4
6
2
7 8
10 5
6)
9 10 11 12
10 2 3 0
Compute the empirical probability that the sum rolled is greater than 9.
3
1
1
A)
B)
C)
10
6
5
D)
1
10
7) A 12-sided
die can be made from a geometric solid called a
dodecahedron. Assume that a fair dodecahedron is rolled.
7)
The sample space is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
Find P(8).
A) 2/3
B) 7/12
C) 1/12
D) 1/3
8) In
a poll of 451 university students, 193 said that they were opposed to legalizing
marijuana. What is the probability that a surveyed student opposes legalization of
marijuana?
A) 0.252
B) 0.748
C) 0.428
D) 0.572
2
8)
¶
Answer Key
Testname: PROBABILITY 2016 HW 1
1) B
2) C
3) A
4) C
5) C
6) D
7) C
8) C
3