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You have a bag that contains 3 green marbles, 7 red marbles, 3 blue marbles, and 8 black marbles. What is the probability that you will draw a green marble? Edit View Insert Format Tools Table 12pt v Paragraph v BIU T?レ

You have a bag that contains 3 green marbles, 7 red marbles, 3 blue marbles, and 8 black marbles. What is the probability that you will draw a green marble? Edit View Insert Format Tools Table 12pt v Paragraph v BIU T?レ

A First Course in Probability (10th Edition)
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 5 You have a bag that contains 3 green marbles, 7 red marbles, 3 blue marbles, and 8 black marbles. What is the probability that you will draw a green marble? **Explanation:** To find the probability of drawing a green marble, use the formula: \[ \text{Probability} = \frac{\text{Number of green marbles}}{\text{Total number of marbles}} \] - Number of green marbles = 3 - Total number of marbles = 3 (green) + 7 (red) + 3 (blue) + 8 (black) = 21 So, the probability is: \[ \frac{3}{21} = \frac{1}{7} \] The probability of drawing a green marble is \(\frac{1}{7}\).
Transcribed Image Text:### Question 5 You have a bag that contains 3 green marbles, 7 red marbles, 3 blue marbles, and 8 black marbles. What is the probability that you will draw a green marble? **Explanation:** To find the probability of drawing a green marble, use the formula: \[ \text{Probability} = \frac{\text{Number of green marbles}}{\text{Total number of marbles}} \] - Number of green marbles = 3 - Total number of marbles = 3 (green) + 7 (red) + 3 (blue) + 8 (black) = 21 So, the probability is: \[ \frac{3}{21} = \frac{1}{7} \] The probability of drawing a green marble is \(\frac{1}{7}\).
Expert Solution
Step 1

We have given that 

A=Green marble=3

B=Red marble=7

C=Blue marble=3

D=Black marble=8

T=Total number of marble=(3+7+3+8)=21

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