Grade 12 Unit 9
Grade 12 Unit 9
MATHEMATICS 1209 PROBABILITY CONTENTS
804 N. 2nd Ave. E., Rock Rapids, IA 51246-1759 © MM by Alpha Omega Publications, Inc. All rights reserved. LIFEPAC is a registered trademark of Alpha Omega Publications, Inc.
All trademarks and/or service marks referenced in this material are the property of their respective owners. Alpha Omega Publications, Inc. makes no claim of ownership to any trademarks and/or service marks other than their own and their affiliates’, and makes no claim of affiliation to any companies whose trademarks may be listed in this material, other than their own.
ii
PROBABILITY ➤ ➤ _______________________________________ _______________________________________ _______________________________________
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➤ ➤ ➤ ➤ ➤ ➤ OBJECTIVES Read these objectives. The objectives tell you what you should be able to do when you have successfully completed this LIFEPAC. When you have completed this LIFEPAC, you should be able to: 1.
Apply the basic concepts of probability.
2.
Solve problems using permutations, combinations, and probability.
3.
Solve problems using the concepts of random variable, probability distribution, and binomial distribution.
1
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I. RANDOM EXPERIMENTS AND PROBABILITY
OBJECTIVE 1. Apply the basic concepts of probability.
DEFINITIONS, SAMPLE SPACES, AND PROBABILITY
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ADDITION OF PROBABILITIES
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________________________________ MULTIPLICATION OF PROBABILITIES
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Review the material in this section in preparation for the Self Test. The Self Test will check your mastery of this particular section. The items missed on this Self Test will indicate specific areas where restudy is needed for mastery.
SELF TEST 1
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Score Teacher Check
98 122
25
_______________________ _______________________ Initial Date
MATHEMATICS 1209 PROBABILITY CONTENTS
804 N. 2nd Ave. E., Rock Rapids, IA 51246-1759 © MM by Alpha Omega Publications, Inc. All rights reserved. LIFEPAC is a registered trademark of Alpha Omega Publications, Inc.
All trademarks and/or service marks referenced in this material are the property of their respective owners. Alpha Omega Publications, Inc. makes no claim of ownership to any trademarks and/or service marks other than their own and their affiliates’, and makes no claim of affiliation to any companies whose trademarks may be listed in this material, other than their own.
ii
PROBABILITY ➤ ➤ _______________________________________ _______________________________________ _______________________________________
➤
_______________________________________ _______________________________________
➤ ➤ ➤
➤ ➤ ➤ ➤ ➤ ➤ OBJECTIVES Read these objectives. The objectives tell you what you should be able to do when you have successfully completed this LIFEPAC. When you have completed this LIFEPAC, you should be able to: 1.
Apply the basic concepts of probability.
2.
Solve problems using permutations, combinations, and probability.
3.
Solve problems using the concepts of random variable, probability distribution, and binomial distribution.
1
________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________ ________________________________________________________________________________________________
I. RANDOM EXPERIMENTS AND PROBABILITY
OBJECTIVE 1. Apply the basic concepts of probability.
DEFINITIONS, SAMPLE SPACES, AND PROBABILITY
2
3
4
5
6
_________________________
_________________________
_________________________
_________________________________________________________________________________________ _________________________________________________________________________________________ _________________________________________________________________________________________ _________________________________________________________________________________________
__________________________________
__________________________________
__________________________________
__________________________________
__________________________________
__________________________________
7
__________________________________
__________________________________
__________________________________ __________________________________ __________________________________
__________________________________
__________________________________
__________________________________
__________________________________
8
___________________________
_______________________________________
______________________________________
_________________________________________________________________________
_________________________________________________________________________
____________________________________________________________________________ ______________________________________________________________________ ___________________________________________________________________________
______________________________________________________________
______________________________________
9
_____________________________________________________________________________________________ _____________________________________________________________________________________________
_______________________________________
_______________________________________
_______________________________________
_______________________________________
_______________________________________
_______________________________________
10
ADDITION OF PROBABILITIES
11
12
13
_______________________________________
_______________________________________
_______________________________________
14
_________________________________ _________________________________
_________________________________
________________________________ ________________________________
________________________________
________________________________ ________________________________
________________________________ MULTIPLICATION OF PROBABILITIES
15
16
17
______________________________________
______________________________________
______________________________________
18
____________________________
____________________________
____________________________
____________________________
____________________________
____________________________
_________________________________
_________________________________
___________________________
___________________________
19
_______________________________
_______________________________
_______________________________
_______________________________
_______________________________
_______________________________
20
_________________________________
_________________________________
_________________________________
21
___________________________________________________
___________________________________________________
________________
_________________________
Review the material in this section in preparation for the Self Test. The Self Test will check your mastery of this particular section. The items missed on this Self Test will indicate specific areas where restudy is needed for mastery.
SELF TEST 1
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_______________________________________________________________________________________ _______________________________________________________________________________________
_______________________________________________________________________________________ _______________________________________________________________________________________
22
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___________________________________
______________________________________________________ ______________________________________________________ ______________________________________________________ ______________________________________________________ ______________________________________________________ ______________________________________________________
___________________________________ ___________________________________ ___________________________________ ___________________________________
___________________________________
24
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Score Teacher Check
98 122
25
_______________________ _______________________ Initial Date
