Describe why the following is an Independent event using probability language. In a bag of marbles, the following represents the distributions: 11 Red, 13 Green, 10 Blue, and 11 Yellow. After removing each marble, you replace them.

Describe why the following is an Independent event using probability language. In a bag of marbles, the following represents the distributions: 11 Red, 13 Green, 10 Blue, and 11 Yellow. After removing each marble, you replace them.

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

Describe why the following is an Independent event using probability language.

In a bag of marbles, the following represents the distributions: 11 Red, 13 Green, 10 Blue, and 11 Yellow. After removing each marble, you replace them.

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Expert Solution

Step 1

A bag ( 11 red ,13 green , 10 blue , 11 yellow )

Total (N) = 11 + 13 + 10 + 11 = 45 marbles

Independent events :

Two events are independent if

P(A and B) = P(A) × P(B)

Probability = favorable/Total

Conditional probability :

P( A|B ) = P(A and B) / P(B)

Step by step

Solved in 4 steps

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