An urn contains four red tokens and three blue tokens. Two tokens are drawn successively and without replacement. If A is the event “the first token drawn is red” and B the event “the second token drawn is blue”, events A and B Are they independent?

An urn contains four red tokens and three blue tokens. Two tokens are drawn successively and without replacement. If A is the event “the first token drawn is red” and B the event “the second token drawn is blue”, events A and B Are they independent?

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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Question

An urn contains four red tokens and three blue tokens.
Two tokens are drawn successively and without replacement. If A is
the event “the first token drawn is red” and B the event “the second token drawn is blue”, events A and B
Are they independent?

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Urn contain 7 tokens=4 red+3 blue token

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Q no 3
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An experiment consists of rolling a fair die twice. Let A be the event that in the second roll the die lands 1, 2, or 5; B be the event that in the second roll the die lands 4, 5, or 6; and C be the event that the sum of the two outcomes from the two rolls is 9. Please choose the correct answer:
Suppose a jar contains five red candies, three yellow candies, and one green candy. If two candies are pulled out, list all the events in the sample space. Does it matter if they are pulled out at the same time or one at a time? Let the event A be that at least one of the two candies pulled out is red. Let the event B be that the second candy is green. Let the event C be that both candies are yellow. What are the events AUB, AUC, BUC, AÇB, AÇC, and BÇC?