1. Are the two trials independent or dependent? Give reasons to support your answer 2. Draw a probability tree diagram to show the execution of this random experiment. 3. What is the probability of drawing a white marble from box B at the end of 2nd trial?

1. Are the two trials independent or dependent? Give reasons to support your answer 2. Draw a probability tree diagram to show the execution of this random experiment. 3. What is the probability of drawing a white marble from box B at the end of 2nd trial?

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains 7 white
and 4 black marbles. A random experiment is performed in two sequential trials by first drawing a marble
randomly from box A and putting into Box B. In the second trial after the first trial, a marble is drawn randomly
from box B.
Answer the following questions.
1. Are the two trials independent or dependent? Give reasons to support your answer
2. Draw a probability tree diagram to show the execution of this random experiment.
3. What is the probability of drawing a white marble from box B at the end of 2nd trial?
4. What is the probability of drawing a black marble from box Bat the end of 2nd trial?
5. Identify all the mutually exclusive events present in the given scenario and verify that they are mutually
exclusive.
6. If we reverse the scenario, then what is the probability of drawing a black marble from
box A given that a white marble is drawn from box B.
[2]

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