Practice B Theoretical Probability 9-4

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Practice B
9-4 Theoretical Probability
An experiment consists of rolling two fair number cubes.
Find each probability.
1. P(total shown 3)
2. P(total shown 7)
3. P(total shown 9)
4. P(total shown 2)
5. P(total shown 4)
6. P(total shown 13)
7. P(total shown 8)
8. P(total shown 12)
9. P(total shown 7)
Find the theoretical probability of having a thrown
dart land in the indicated area.
10. P(landing in area 1)
11. P(landing in area 3)
1
4 5
3
2
12. P(landing in area 5)
13. P(landing in area 2)
14. P(landing in area 4)
15. What is the theoretical probability of winning a split-the-pot
prize if you bought 5 tickets and 150 were sold?
16. Darnell won the class spelling bee. His teacher put each
prize in separate but equal size boxes. The prizes were
10 candy bars,1 homework pass, and 3 pencils. Darnell
could have his choice of the boxes. What is the theoretical
probability that he will choose a homework pass as his prize?
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Practice B
9-4 Theoretical Probability
Practice A
9-4 Theoretical Probability
LESSON
LESSON
An experiment consists of rolling a fair number cube.
An experiment consists of rolling two fair number cubes.
Find each probability.
1
6
1
6
1
2
1. What is the probability of rolling a 6?
2. What is the probability of rolling a 1?
3. What is the probability of rolling an odd number?
1. P(total shown 3)
1
2
1
2
5. What is the probability of tossing a head and a tail?
6. What is the probability of the outcomes being the same?
8. Ted has a bag of 10 plain caramels, 6 caramels with nuts,
and 4 chocolates. What is the theoretical probability that
Ted will pick a chocolate from the bag?
1
5
12. P(landing in area 5)
9. What is the theoretical probability the sun will rise tomorrow?
1
1
14
1
4
5. P(drawing a joker)
8. P(BGW)
1
8
1
8
1
The probability of each outcome is 2.
1
P(heads) P(tails) 2
Complete to find each probability.
6. P(drawing a heart or a
club)
1.
1
2
Three separate jars each contain 2 different
color marbles. Jar A has a red and a blue
marble. Jar B has a red and a green marble.
Jar C has a purple and a white marble. One
marble is drawn from each jar. The table
shows a sample space with all outcomes
equally likely. Find each probability.
7. P(RRP)
The sample space for a fair coin has
2 possible outcomes: heads or tails.
Both possibilities have the same chance
of occurring; they are equally likely.
3. P(drawing a diamond)
0
Jar B
Jar C
Outcome
R
R
P
RRP
R
R
W
RRW
R
G
P
RGP
R
G
W
RGW
B
R
P
BRP
B
R
W
BRW
B
G
P
BGP
B
G
W
BGW
10. P(a green with two
other colors)
2
2.
1
3
Jar A
3
6
yes
yes
1
3
1
6
How many outcomes in the sample space?
Are the outcomes equally likely?
What is the probability for each outcome?
For this spinner, there are 10 possible outcomes in the sample
space. The outcomes are equally likely.
1
5
P(7) 10
4 3 2
5
6
1
, or P(even number) 10
2
6
3
, or P(a number greater than 4) 10
5
1
10
7 8 9
When the possible outcomes are equally likely, you calculate
the probability that an event E will occur by using a ratio.
11. P(1 white or 1 purple)
number of favorable outcomes
P(E) total number of possible outcomes
1
2
1
1
30
12. If Sam guessed the day that someone was born in November,
what is the theoretical probability that he guessed correctly?
Find each probability.
3.
13. Seth counts the coins in his money jar and finds he has 264
pennies, 135 nickels, 87 dimes, and 114 quarters. Find the
theoretical probability of drawing each type of coin from the jar.
29
200
40
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4.
B
A
C
B
19
100
pennies ; nickels ; dimes ; quarters Copyright © by Holt, Rinehart and Winston.
All rights reserved.
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Reteach
9-4 Theoretical Probability
2. P(drawing a jack)
9
40
1
16
LESSON
1
13
11
25
14. P(landing in area 4)
1
4
16. Darnell won the class spelling bee. His teacher put each
prize in separate but equal size boxes. The prizes were
10 candy bars,1 homework pass, and 3 pencils. Darnell
could have his choice of the boxes. What is the theoretical
probability that he will choose a homework pass as his prize?
Consider a standard deck of 52 cards. Find the theoretical
probability of drawing the indicated card(s).
1
4
13. P(landing in area 2)
1
30
Practice C
9-4 Theoretical Probability
9. P(2 red with another
color)
2
15. What is the theoretical probability of winning a split-the-pot
prize if you bought 5 tickets and 150 were sold?
LESSON
1
26
4 5
3
1
1
8
1
16
Pre-Algebra
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Middle
School Math
38
11. P(landing in area 3)
1
2
1
2
10. The Hudsons are getting a new puppy. What is the
theoretical probability that the dog will be male?
4. P(drawing a black 8)
5
12
Find the theoretical probability of having a thrown
dart land in the indicated area.
10. P(landing in area 1)
1
2
9. P(total shown 7)
1
2
5
1. P(drawing a red card)
0
8. P(total shown 12)
5
18
7. Ruth put 10 sheets of different color paper in her printer:
1 yellow, 3 green, 2 blue, and 4 white. What is the theoretical
probability that the printer will print on a white sheet of paper?
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6. P(total shown 13)
1
12
7. P(total shown 8)
Find the theoretical probability.
1
9
5. P(total shown 4)
1
36
HH; HT; TH; TT
3. P(total shown 9)
1
6
4. P(total shown 2)
An experiment consists of tossing two coins.
4. List all the possible outcomes.
2. P(total shown 7)
1
18
A
1
P(C) 5
2
P(A) 5
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99
5.
1
1
1
3
3
2
3
2
2
3
2
1
P(1) 4 , or 2
1
P(even) 4
41
2
1
6 , or 3
4
2
P(odd) 6 , or 3
P(2) Pre-Algebra
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