There are 3 drawers in a dresser‘, and you are equally likely to pick any of the three. In drawer 1, there are 2 black socks and 3 red socks. In drawer 2, there are 3 black socks and 2 red socks. In drawer 3, there are 3 black socks and 3 red socks. Once you have randomly selected a drawer, you randomly pull out a sock of that drawer. (a) What is probability you pull out a black sock? (b) Given that you pull out a red sock, what is the probability that you got it from drawer 2? (c) If you were to randomly choose a drawer and the draw two socks from that drawer, what is the probability that you get a pair (red or black)?
There are 3 drawers in a dresser‘, and you are equally likely to pick any of the three. In drawer 1, there are 2 black socks and 3 red socks. In drawer 2, there are 3 black socks and 2 red socks. In drawer 3, there are 3 black socks and 3 red socks. Once you have randomly selected a drawer, you randomly pull out a sock of that drawer. (a) What is probability you pull out a black sock? (b) Given that you pull out a red sock, what is the probability that you got it from drawer 2? (c) If you were to randomly choose a drawer and the draw two socks from that drawer, what is the probability that you get a pair (red or black)?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
Related questions
Question
There are 3 drawers in a dresser‘, and you are equally likely to pick any of the three.
In drawer 1, there are 2 black socks and 3 red socks. In drawer 2, there are 3 black
socks and 2 red socks. In drawer 3, there are 3 black socks and 3 red socks. Once
you have randomly selected a drawer, you randomly pull out a sock of that drawer.
(a) What is
(b) Given that you pull out a red sock, what is the probability that you got it from
drawer 2?
(c) If you were to randomly choose a drawer and the draw two socks from that
drawer, what is the probability that you get a pair (red or black)?
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VIEWStep 3: Determine the probability to pull out a black sock
VIEWStep 4: Determine the probability that getting it from drawer 2, given that pull out a red sock
VIEWStep 5: Determine the probability that to get a pair (red or black)
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