Answered: Find the probability of the following…

Math

Probability

Find the probability of the following event, expressing it as a fraction in lowest terms. She has all the red ones.

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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Question

Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, four green ones, twowhite ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms.

She has all the red ones.

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Expert Solution

Step 1

Here we have ,

3 red marbles

4 green marbles

2 white marbles

2 purple marbles

There are total 3+4+2+2=11 marbles

Now , Suzan grabs 8 marbles.

Our aim is to find the probability that she has all the red marbles.

Here , we use the combination.

$\binom{n}{r}=\frac{n!}{r!(n-r)!}$

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