Probability And Statistics Worksheets Page 7
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42The theoretical probability of an event, P(E), is the ratio of the number of
favorable outcomes to the number of possible outcomes in the sample space.
number of favorable outcomes
P(E)
number of possible outcomes
Reading Math
E x a m p l e 4
The odds in favor of an
event are expressed as the
CARD GAMES
A card is picked at random from a standard deck
ratio of the number of
favorable outcomes to the
of 52 cards. Find P(face card).
number of unfavorable
outcomes. For example,
Solution
when you roll a die, the
odds of getting a 4 are
There are 52 possible outcomes. There are 12 favorable outcomes—
1:5—because there is 1
way the event can occur,
4 jacks, 4 queens, and 4 kings.
and 5 ways it cannot.
1
2
3
P(face card)
5
2
1
3
T
T
E
RY
HESE
XERCISES
SPORTS
1.
Of the first 1500 fans to pass through the turnstiles at the stadium,
1050 had reserved seats. What is the probability that the next person through
will have a reserved seat?
2.
WRITING MATH
A person flips a penny, a nickel, and a dime. Each coin can
land with heads up (H) or tails up (T). Make a tree diagram to show what
different outcomes are possible.
3. You roll a die 60 times. Predict the number of times you will roll an even
number greater than 2.
4.
GAMES
A spinner for a game is divided into ten equal sections numbered 1
through 10. What is the probability of spinning 7 or higher?
P
E
RACTICE
XERCISES • For Extra Practice, see page 690.
A die is rolled 100 times with the following results.
Outcome
1
2
3
4
5
6
Frequency
15
18
22
9
16
20
What is the experimental probability of rolling each of the following results?
5. 2
6. 6
7. a number less than 4
8. What is the theoretical probability of rolling a number less than 4?
9.
CHAPTER INVESTIGATION
Working with a partner, prepare to make your
own baseball simulation game. To begin, gather batting statistics on at least
18 players. You may use statistics from the most recent baseball season or
statistics from prior years. For each player, you will need to know the number
At Bats (AB), Hits (H), Doubles (2B), Triples (3B), Walks (BB) and Strike Outs
(SO). This information is available in the newspaper, in sports magazines or
on team websites.
386
Chapter 9 Probability and Statistics
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