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Introduction to Statistics and Probability
PreTest

Probability and Counting Rules
Objecticve: You will be able to.
..
determine sample spaces and find the probability of an event using classical probability or empirical probability.
find the probability of compound events using the addition rules
find the probability of compound events using multiplication rules
find the toal number of outcomes in a sequence of events using the fundamental counting rule
find the number of ways that r objects can be selected from n objects (with regard to order) using the permutation rule
find the number of ways that r objects can be selected from n objects (without regard to order) using the combination rule
find the probability of an event using the counting rules.
Name___________________________________
Date__________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the indicated probability.
1) A survey resulted in the sample data in the given table. If one of the survey respondents is randomly selected,
find the probability of getting someone who lives in a flat.
Type of
accommodation
Number
House
314
Flat
451
Apartment
519
Other
582
A) 0.242
B) 0.002
C) 451
D) 0.351
Find the indicated probability by using the special addition rule.
2) The age distribution of students at a community college is given below.
Age (years)
Number of students (f)
Under 21
410
21

25
406
26

30
201
31

35
58
Over 35
21
1096
A student from the community college is selected at random. Find the probability that the student is between
26 and 35 inclusive. Round approximations to three decimal places.
A) 259
B) 0.236
C) 0.053
D) 0.183
1
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View Full Document3) The age distribution of students at a community college is given below.
Age (years)
Number of students (f)
Under 21
409
21

25
405
26

30
219
31

35
56
Over 35
26
1115
A student from the community college is selected at random. Find the probability that the student is at least 31.
Round approximations to three decimal places.
A) 0.050
B) 0.926
C) 0.074
D) 82
4) Two 6

sided dice are rolled. What is the probability that the sum of the numbers on the dice is 6 or 10?
A)
4
3
B)
2
9
C)
1
60
D)
4
9
5) A card is drawn from a well

shuffled deck of 52 cards. What is the probability of drawing a face card or a 5?
A)
48
52
B)
4
13
C)
2
13
D) 16
Find the indicated probability by using the general addition rule.
6) When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are
rolled or the sum of the dice is 6.
A)
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 Spring '11
 Lee
 Statistics, Counting, Probability

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