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