Consider two boxes, call them box I and box II. Box I contains 5 blue and 4 red marbles, while box II contains 6 blue and 4 red marbles. Suppose you cast a die in order to randomly pick a box. If the die shows 5 or 6, you choose box 1. Otherwise, you choose box II. Now, from the chosen box, pick a single marble at random. If following this procedure we chose a red marble, what is the probability that it was drawn from box II? (round the answer to 4 decimal places). O 0.4148 0.3214 0.6429 0.1481 O 0.2667

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Consider two boxes, call them box I and box II. Box I contains 5 blue and 4 red
marbles, while box II contains 6 blue and 4 red marbles. Suppose you cast a die in
order to randomly pick a box. If the die shows 5 or 6, you choose box 1. Otherwise,
you choose box II. Now, from the chosen box, pick a single marble at random. If
following this procedure we chose a red marble, what is the probability that it was
drawn from box II? (round the answer to 4 decimal places).
O 0.4148
0.3214
0.6429
0.1481
O 0.2667
Transcribed Image Text:Consider two boxes, call them box I and box II. Box I contains 5 blue and 4 red marbles, while box II contains 6 blue and 4 red marbles. Suppose you cast a die in order to randomly pick a box. If the die shows 5 or 6, you choose box 1. Otherwise, you choose box II. Now, from the chosen box, pick a single marble at random. If following this procedure we chose a red marble, what is the probability that it was drawn from box II? (round the answer to 4 decimal places). O 0.4148 0.3214 0.6429 0.1481 O 0.2667
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