SOLUTION: (60 points) On a table in a doctor’s office are five Motor Trend magazines, six Parenting magazines, and three Sports Illustrated magazines. If a patient randomly selects three mag

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Question 1119744: (60 points) On a table in a doctor’s office are five Motor Trend magazines, six Parenting magazines, and three Sports Illustrated magazines. If a patient randomly selects three magazines, determine the probability that
a. three Motor Trend magazines are selected.
b. two Parenting magazines and one Sports Illustrated magazine are selected.
c. no Parenting magazine is selected.
d. at least one Parenting magazine is selected
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
(60 points) On a table in a doctor’s office are five Motor Trend magazines, six Parenting magazines, and three Sports Illustrated magazines.
If a patient randomly selects three magazines, determine the probability that 


First notice that the total number of magazines = 5 + 6 + 3 = 14.


a. three Motor Trend magazines are selected.    Probability = .

b. two Parenting magazines and one Sports Illustrated magazine are selected.   Probability = .

c. no Parenting magazine is selected.   Probability = .

                                        Here 8 = 14-6 is the number of magazines on the table excluding 6 Parenting magazines.



d. at least one Parenting magazine is selected   Probability = complement to the "c"Probability.

Solved.

-----------------
In order for solve such problems with confidence and understand the solution, when it is presented to you, you should know the basics.

In this case, the basics is the info about Combinations.

On Combinations, read these lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - OVERVIEW of lessons on Permutations and Combinations
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.


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