5. When you draw one of the die out of the velvet pouch, what is the probability that you have drawn the loaded die?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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For questions 5-11, please consider the following information. You have a pair of dice - the six sided
white cubes with dots on each side that represent the numbers 1-6 respectively. However, each die
(which is the singular of dice) is unique. One die is a standard die, so that there is equal probability
that you roll any of the six possible numbers. The other is weighted so that the result of tossing the
die is a 6 on 40% of your rolls. The remaining five possible outcomes split the remaining probability
equally. You keep these dice in a velvet pouch, and occasionally draw one out and roll it. You have
no way of identifying which die is which (loaded vs. standard) by feel, so when you draw one you are
unsure which it is.
5. When you draw one of the die out of the velvet pouch, what is the probability that you have
drawn the loaded die?
Transcribed Image Text:For questions 5-11, please consider the following information. You have a pair of dice - the six sided white cubes with dots on each side that represent the numbers 1-6 respectively. However, each die (which is the singular of dice) is unique. One die is a standard die, so that there is equal probability that you roll any of the six possible numbers. The other is weighted so that the result of tossing the die is a 6 on 40% of your rolls. The remaining five possible outcomes split the remaining probability equally. You keep these dice in a velvet pouch, and occasionally draw one out and roll it. You have no way of identifying which die is which (loaded vs. standard) by feel, so when you draw one you are unsure which it is. 5. When you draw one of the die out of the velvet pouch, what is the probability that you have drawn the loaded die?
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