rounded values for subsequent calculation if any intermediate values are rounded. For example, enter "O.2" for 1/5, but 0.333 for 1/3 (and if later you have 1/3 * 1/5, compute it as 0.2 * 0.333). There are two drawers in my desk, left one contains 4 blue pens and 6 red pens, and the right contains 1 blue pen and 4 red pens.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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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For this question, enter numbers using at most 3 decimal places, and use the
rounded values for subsequent calculation if any intermediate values are rounded.
For example, enter "0.2" for 1/5, but 0.333 for 1/3 (and if later you have 1/3 * 1/5,
compute it as 0.2 * 0.333).
There are two drawers in my desk, left one contains 4 blue pens and 6 red pens, and
the right contains 1 blue pen and 4 red pens.
What is the conditional probability of picking a blue pen given that I chose the left
drawer?
What is the probability of picking a blue pen if I first select a drawer uniformly at
random, and then pick a random pen from that drawer?
Finally, what is the probability of having picked a pen from the left drawer, given that
I picked a blue pen?
(don't forget to round to 3 decimal places).
Transcribed Image Text:For this question, enter numbers using at most 3 decimal places, and use the rounded values for subsequent calculation if any intermediate values are rounded. For example, enter "0.2" for 1/5, but 0.333 for 1/3 (and if later you have 1/3 * 1/5, compute it as 0.2 * 0.333). There are two drawers in my desk, left one contains 4 blue pens and 6 red pens, and the right contains 1 blue pen and 4 red pens. What is the conditional probability of picking a blue pen given that I chose the left drawer? What is the probability of picking a blue pen if I first select a drawer uniformly at random, and then pick a random pen from that drawer? Finally, what is the probability of having picked a pen from the left drawer, given that I picked a blue pen? (don't forget to round to 3 decimal places).
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