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Example 2.10.1 There are three dice in a bag. One has one red face, another has two red faces, and the third has three red faces. One of the dice is drawn at random from the bag, each die having an equal chance of being drawn. The selected die is repeatedly rolled. (a) What is the probability that red shows on the first roll? (b) Given that red shows on the first roll, what is the conditional probability that red shows on the second roll? (c) Given that red shows on the first three rolls, what is the conditional probability that the selected die has red on three faces?

Example 2.10.1 There are three dice in a bag. One has one red face, another has two red faces, and the third has three red faces. One of the dice is drawn at random from the bag, each die having an equal chance of being drawn. The selected die is repeatedly rolled. (a) What is the probability that red shows on the first roll? (b) Given that red shows on the first roll, what is the conditional probability that red shows on the second roll? (c) Given that red shows on the first three rolls, what is the conditional probability that the selected die has red on three faces?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Example 2.10.1 There are three dice in a bag. One has one red face, another has two red faces, and the third has three red faces. One of the dice is drawn at random from the bag, each die having an equal chance of being drawn. The selected die is repeatedly rolled. (a) What is the probability that red shows on the first roll? (b) Given that red shows on the first roll, what is the conditional probability that red shows on the second roll? (c) Given that red shows on the first three rolls, what is the conditional probability that the selected die has red on three faces?
Transcribed Image Text:Example 2.10.1 There are three dice in a bag. One has one red face, another has two red faces, and the third has three red faces. One of the dice is drawn at random from the bag, each die having an equal chance of being drawn. The selected die is repeatedly rolled. (a) What is the probability that red shows on the first roll? (b) Given that red shows on the first roll, what is the conditional probability that red shows on the second roll? (c) Given that red shows on the first three rolls, what is the conditional probability that the selected die has red on three faces?
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