Suppose 3 blue and 5 yellow identical objects are in a jar. A blindfolded person randomly selects two of these objects from the jar one after another, without replacing them back into the jar. The following tree diagram depicts all the possible random outcomes and their probabilities. 3 B 5 Y 3/8 5/8 Blue Yellow 2/7 4/7 Blue 5/7 3/7 Yellow Blue Yellow Note: Please enter your answers below in fraction form. a) What is the conditional probability P (Yellow Yellow) =? b) What is the probability of obtaining a final outcome with first a yellow object and then a blue object?

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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Suppose 3 blue and 5 yellow identical objects are in a jar. A
blindfolded person randomly selects two of these objects from the jar one
after another, without replacing them back into the jar. The following tree
diagram depicts all the possible random outcomes and their probabilities.
3 B
5 Y
3/8
5/8
Blue
Yellow
2/7
4/7
Blue
5/7
3/7
Yellow
Blue
Yellow
Note: Please enter your answers below in fraction form.
a) What is the conditional probability P(Yellow | Yellow) =?
b) What is the probability of obtaining a final outcome with first a yellow
object and then a blue object?
Transcribed Image Text:Suppose 3 blue and 5 yellow identical objects are in a jar. A blindfolded person randomly selects two of these objects from the jar one after another, without replacing them back into the jar. The following tree diagram depicts all the possible random outcomes and their probabilities. 3 B 5 Y 3/8 5/8 Blue Yellow 2/7 4/7 Blue 5/7 3/7 Yellow Blue Yellow Note: Please enter your answers below in fraction form. a) What is the conditional probability P(Yellow | Yellow) =? b) What is the probability of obtaining a final outcome with first a yellow object and then a blue object?
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