Probability And Statistics Worksheets Page 38
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42LESSON 9-3
Compound Events, p. 392
A compound event consists of two or more simple events. If A and B are mutually
exclusive events, they cannot occur at the same time, and P(A or B)
P(A)
P(B). If A and B are not mutually exclusive events, they can occur at the same
time, and P(A or B)
P(A)
P(B)
P(A and B).
21. Two 1–6 spinners are spun. Find the probability that the sum of the numbers
spun is 9 or less than 2.
22. A card is drawn at random from a standard deck. Find the probability that it
is a black card or an 8.
23. There are 3 science books, 4 math books, and 2 history books on a shelf. If a
book is randomly selected, what is the probability of selecting a science book
or a history book?
24. In a drama club, 7 of the 20 girls are seniors, and 4 of the 14 boys are seniors.
What is the probability of randomly selecting a boy or a senior to represent
the drama club at an arts symposium?
LESSON 9-4
Independent and Dependent Events, p. 396
Two events are independent if the outcome of one does not affect the outcome
of the other. If A and B are independent events, P(A, then B)
P(A) P(B).
Two events are dependent if the outcome of one affects the outcome of the
other. If A and B are dependent events, P(A, then B)
P(A) P(B, after A).
25. A die is rolled two times. Find P(3, then even number).
26. A box contains 4 red marbles, 3 green marbles, 1 white marble, 2 yellow
marbles, and 3 blue marbles. Two marbles are chosen at random and not
replaced. Find P(red, then yellow).
27. A coin is tossed three times. What is the probability that all three times the
coin shows heads?
28. Reiko has 3 quarters, 5 dimes, and 2 nickels in her pocket. She picks two
coins at random without replacement. What is the probability that she
chooses a quarter followed by a dime?
LESSON 9-5
Permutations and Combinations, p. 402
The fundamental counting principle states that if an event A can occur in m ways
and an event B can occur in n ways, then events A and B can occur in m n ways.
A permutation is a set of items arranged in a particular order. You can arrange
n !
a set of n items in n! ways. To find the number of permutations of a set of
P
n
r
(n
r)!
n items taken r at a time, use the formula at the right.
n!
A set of items without consideration of order is called a combination. To find
C
n
r
(n
r) r!
the number of combinations of a set of n items taken r at a time, use the
formula at the right.
29. In how many different ways can 6 pies be awarded first- through third-place
prizes?
30. How many groups of 3 students can be chosen from a class of 20 students?
31. How many 3-digit whole numbers can you write using the digits 1, 3, 5, 7,
and 9 if no digit can be used twice?
Chapter 9 Review
417
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