SOLUTION: A bag contains 5 red balls and 3 blue balls. If 5 balls are selected at random, find the probability of selecting 5 red balls.

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Question 1155839: A bag contains 5 red balls and 3 blue balls. If 5 balls are selected at random, find the probability of selecting 5 red balls.
Answer by ikleyn(52756) About Me  (Show Source):
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The number of all possible ways to select 5 different balls from the set of 5+3 = 8 balls is  C%5B8%5D%5E5 = %288%2A7%2A6%29%2F%281%2A2%2A3%29 = 56.


It is the number of all possible combinations of 8 balls taken 5 at a time.


(The order of balls does not matter, in this problem).


Of these 56 combinations, ONLY ONE contain 5 red balls.


Therefore, the probability the problems asks for is  1%2F56.

Solved, answered and explained.

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On Combinations,  see introductory 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.