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.
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.
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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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
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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