aaing 1 14) Ajar contains four red marbles, two white marbles, and three blue marbles. Without looking a student draws one marbie from the jar. What is the Dictate probability that the marble drawn is blúe? 1 A) C) 3

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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### Probability Question

**Question:**

A jar contains four red marbles, two white marbles, and three blue marbles. Without looking, a student draws one marble from the jar. What is the probability that the marble drawn is blue?

**Options:**
- A) 1/2
- B) 1/9
- C) 1/3
- D) 3/9 

**Explanation:**

To solve this, we first need to determine the total number of marbles:

- Red marbles = 4
- White marbles = 2
- Blue marbles = 3

Total number of marbles = 4 (Red) + 2 (White) + 3 (Blue) = 9 marbles

The probability of drawing a blue marble is the number of blue marbles divided by the total number of marbles. Therefore, the probability P can be calculated as:

\[ P(\text{Blue marble}) = \frac{\text{Number of blue marbles}}{\text{Total number of marbles}} = \frac{3}{9} = \frac{1}{3} \]

Thus, the correct option is:

- C) 1/3
Transcribed Image Text:### Probability Question **Question:** A jar contains four red marbles, two white marbles, and three blue marbles. Without looking, a student draws one marble from the jar. What is the probability that the marble drawn is blue? **Options:** - A) 1/2 - B) 1/9 - C) 1/3 - D) 3/9 **Explanation:** To solve this, we first need to determine the total number of marbles: - Red marbles = 4 - White marbles = 2 - Blue marbles = 3 Total number of marbles = 4 (Red) + 2 (White) + 3 (Blue) = 9 marbles The probability of drawing a blue marble is the number of blue marbles divided by the total number of marbles. Therefore, the probability P can be calculated as: \[ P(\text{Blue marble}) = \frac{\text{Number of blue marbles}}{\text{Total number of marbles}} = \frac{3}{9} = \frac{1}{3} \] Thus, the correct option is: - C) 1/3
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