Suppose 3 yellow and 6 green 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 Y 6 G 3/9 6/9 2/8 Yellow Green 5/8 Yellow 6/8 3/8 Green Green Yellow Note: Please enter your answers below in fraction form. a) What is the conditional probability P(Green | Green) =? b) What is the probability of obtaining a final outcome with at least one yellow object?
Suppose 3 yellow and 6 green 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 Y 6 G 3/9 6/9 2/8 Yellow Green 5/8 Yellow 6/8 3/8 Green Green Yellow Note: Please enter your answers below in fraction form. a) What is the conditional probability P(Green | Green) =? b) What is the probability of obtaining a final outcome with at least one yellow object?
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:Suppose 3 yellow and 6 green 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 Y
6 G
3/9
6/9
2/8
Yellow
Green
5/8
Yellow
6/8
3/8
Green
Yellow
Green
Note: Please enter your answers below in fraction form.
a) What is the conditional probability P(Green | Green) =?
b) What is the probability of obtaining a final outcome with at least one yellow object?
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