**Conditional Probability Exercise** **Scenario:** Isaac has 12 marbles as shown in the diagram below. Each marble is either blue or white. In addition, each marble is labeled with a number between 1 and 5. **Diagram Analysis:** The diagram consists of marbles of two colors: blue and white. Each marble has a label with the numbers 1, 2, 3, 4, or 5. **Probabilities to Determine:** 1. What is the probability that Isaac will choose a blue marble given that the marble is odd? 2. What is the probability that Isaac will choose an even marble given that the marble is blue? **Instructions:** Isaac chooses one of the marbles at random. Determine the following probabilities. Enter your probabilities as fractions and simplify any fractions as needed.

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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**Conditional Probability Exercise**

**Scenario:**

Isaac has 12 marbles as shown in the diagram below. Each marble is either blue or white. In addition, each marble is labeled with a number between 1 and 5.

**Diagram Analysis:**

The diagram consists of marbles of two colors: blue and white. Each marble has a label with the numbers 1, 2, 3, 4, or 5.

**Probabilities to Determine:**

1. What is the probability that Isaac will choose a blue marble given that the marble is odd?
2. What is the probability that Isaac will choose an even marble given that the marble is blue?

**Instructions:**

Isaac chooses one of the marbles at random. Determine the following probabilities. Enter your probabilities as fractions and simplify any fractions as needed.
Transcribed Image Text:**Conditional Probability Exercise** **Scenario:** Isaac has 12 marbles as shown in the diagram below. Each marble is either blue or white. In addition, each marble is labeled with a number between 1 and 5. **Diagram Analysis:** The diagram consists of marbles of two colors: blue and white. Each marble has a label with the numbers 1, 2, 3, 4, or 5. **Probabilities to Determine:** 1. What is the probability that Isaac will choose a blue marble given that the marble is odd? 2. What is the probability that Isaac will choose an even marble given that the marble is blue? **Instructions:** Isaac chooses one of the marbles at random. Determine the following probabilities. Enter your probabilities as fractions and simplify any fractions as needed.
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