Harper MTH165 Homework Section 4.2 Latest 2020 MAY
MTH165 ELEMENTARY STATISTICS
Homework Section 4.2
In this section you learned some more probability rules.
What does it mean to say you have “equally likely outcomes”?
What is the formula for the Equally Likely Rule
What is the formula for the Complement Rule? _______________________
What are the formulas for the two Addition Rules? __
How do you know which one of the above formulas to use when you have to compute P(A or B)?
For the exam, do you need to memorize all of the formulas above? ___ ___
Why not?
Fill in the following as you work through your given problems in MyOpenMath.
It is important in this section to use the new probability notation that you learned in this section. That notation will be used for the rest of this course…not just in this section.
1. Fill in the following in the context of this problem:
Experiment: ______
Number of equally likely outcomes to this experiment is ___. (The answer is NOT 6)
a. P( orange or brown ) = _____________________ ≈ _______________
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Explain why it is legal to add the probabilities in part a.
___________________P( orange or brown) = P(Orange) + P(brown) – P(orange and brown)_____________________________________________________
b. P( not orange ) = ________1570/1951______________ ≈ ____0.805______________
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2. Fill in the following in the context of this problem:
Experiment: _______ times__________________________________________________________
Number of equally likely outcomes to this experiment is _____.
a. List the sample space: S = { _______ HHH,HHT,HTH,HTT,THH,THT,TTH,TTT_________________________________________________ }
b. P( getting exactly 1 head ) = ____________________ ≈ _______________
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c. P( at least 2 heads ) = ___________________ ≈ _____________
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d. P( even number of heads ) = ___________________ ≈ _______________
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e. P( all heads or all tails ) = ___________________ ≈ ________________
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f. P( exactly two heads or exactly two tails ) = _______________ ≈ _____________
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g. P( not getting at least 2 heads ) = __________________ ≈ _______________
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3. Fill in the following in the context of this problem:
Experiment: ______
Number of equally likely outcomes to this experiment is _____.
a. List the sample space: S = { ____ 1H,2H,3H,4H,5H,6H,1T,2T,3T,4T,5T,6T____________________________________________________ }
b. P( getting a head ) = ____________________ ≈ ________________
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c. P( getting a 1 ) = _____________________ ≈ _________________
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d. P( 2 or a head ) = _____________________ ≈ ________________
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e. P( 3 and a tail ) = _____________________ ≈
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4. Fill in the following in the context of this problem:
Experiment: _________
a. You can find a picture of the sample space for rolling two dice on page ____ of your book.
How many equally likely outcomes are there? _____
b. P( a sum of 7 ) = ____________________ ≈ _________________
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c. P( 3 on the first die ) = _______≈ ________________
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d. P( a sum of 7 and a 3 on the first die ) = ___≈ __________ _______
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e. P( a sum of 7 OR a 3 on the first die ) = ______________________ ≈ _____ _____________
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f. P( getting doubles ) = ____________________ ≈ ____ ______________
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g. P( both dice to be odd numbers ) = __________________ ≈_______________
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h. P( getting doubles AND both dice to be odd numbers ) = ____________________ ≈
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i. P( getting doubles OR both dice to be odd numbers ) = ______1________________ ≈
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Solution: Harper MTH165 Homework Section 4.2 Latest 2020 MAY