Thomas’ favorite colors are blue and green.He has 1 blue shirt, 1 green shirt, 1 blue hat , 1 green scarf, 1 blue pair of pants and 1 green pair of pants.Tomas selects one of these garments at random. Let A be the event that selects a blue garment and let B be the event that he chooses a shirt. Which of the following statements are true?Select all that apply.P(A│B)=P(A), the probability that Tomas selects a blue garment given that he has chosen a shirt is equal to the probability that Tomas selects a blue garmentP(B│A)=P(B), the probability that Tomas selects a shirt given that he has chosen a blue garment is equal to the probability that Tomas selects a shirt. Which of the following statements are true?Select all that apply.Events A and B are independent on each otherEvents A and B are dependent on each otherP(A and B)=P(A) ∙P(B), the probability that Tomas selects a blue garment that is a shirt is equal to the probability that Tomas selects a blue garment multiplied by the probability that he selects a shirt.

Answered: Thomas’ favorite colors are blue and…

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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Thomas’ favorite colors are blue and green.

He has 1 blue shirt, 1 green shirt, 1 blue hat , 1 green scarf, 1 blue pair of pants and 1 green pair of pants.

Tomas selects one of these garments at random. Let A be the event that selects a blue garment and let B be the event that he chooses a shirt.

Which of the following statements are true?

Select all that apply.

P(A│B)=P(A), the probability that Tomas selects a blue garment given that he has chosen a shirt is equal to the probability that Tomas selects a blue garment
P(B│A)=P(B), the probability that Tomas selects a shirt given that he has chosen a blue garment is equal to the probability that Tomas selects a shirt.

Which of the following statements are true?

Select all that apply.

Events A and B are independent on each other
Events A and B are dependent on each other
P(A and B)=P(A) ∙P(B), the probability that Tomas selects a blue garment that is a shirt is equal to the probability that Tomas selects a blue garment multiplied by the probability that he selects a shirt.

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