If the marble we select is yellow, what is the probability that we chose the first bin?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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We have two bins. The first bin has 6 blue marbles and 4 yellow marbles. The second
bin has 3 blue marbles and 4 yellow marbles. We choose a bin at random and then
draw a marble from that bin.
If the marble we select is yellow, what is the probability that we chose the first bin?
We have to compute the conditional probability
P (First yellow):
P(First yellow)
P(yellow)
= P (First yellow)/P (Fisrt n yellow) + P (Second yellow)
= a/b+c
= d
Then the values a =
and d
=
(Type your answers in the form of n/m)
b
||
||
Transcribed Image Text:We have two bins. The first bin has 6 blue marbles and 4 yellow marbles. The second bin has 3 blue marbles and 4 yellow marbles. We choose a bin at random and then draw a marble from that bin. If the marble we select is yellow, what is the probability that we chose the first bin? We have to compute the conditional probability P (First yellow): P(First yellow) P(yellow) = P (First yellow)/P (Fisrt n yellow) + P (Second yellow) = a/b+c = d Then the values a = and d = (Type your answers in the form of n/m) b || ||
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