I'm given three sealed unlabelled boxes to choose from called A, B, and C. Suppose these are the contents of the boxes; Box A - 213 centipedes, 43 razor blades, 4 spiders Box B - 101 centipedes, 43 razor blades, 33 spiders Box C - 45 centipedes, 200 razor blades, 50 spiders I choose a box randomly. While closing my eyes, I reach my hand in the box. I pick something at random. My nervous system shuts down so I do not feel what it is. I open my hand. A spider emerges. It is my worst nightmare. What is the probability that the box I picked is Box A, given that the randomly picked object inside turned out to be a spider?

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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I'm given three sealed unlabelled boxes to choose from called A, B, and
C. Suppose these are the contents of the boxes;
Box A - 213 centipedes, 43 razor blades, 4 spiders
Box B - 101 centipedes, 43 razor blades, 33 spiders
Box C - 45 centipedes, 200 razor blades, 50 spiders
I choose a box randomly.
While closing my eyes, I reach my hand in the box.
I pick something at random.
My nervous system shuts down so I do not feel what it is.
I open my hand.
A spider emerges.
It is my worst nightmare.
What is the probability that the box I picked is Box A, given that the
randomly picked object inside turned out to be a spider?

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