From a Bowl 5 balls are selected without replacement, the bowl contains 11 balls from wich 8 are red. Calculate the probability that 3 red bals where selected.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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From a Bowl 5 balls are selected without replacement, the bowl contains 11 balls from wich 8 are red. Calculate the probability that 3 red bals where selected.

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There are total 11 balls.We can pick 5 balls from 11 balls in 11C5=462 ways.We can select 3 red balls from 8 red balls in 8C3=56 ways.We can select (5-3)=2 other balls from (11-8)=3 other balls in 3C2=3 waysSo the total number of ways to pick 3 red balls=56×3=168

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