What is the expectation of X?
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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Question
An urn holds 4 red, 3 blue, and 2 green marbles.
Three marbles are selected, altogether, without replacement.
Let X be the number of different colors obtained.
(For example, if you get 3 blues, then X = 1, but if you get 2 reds and a green, then X = 2.)
What is the expectation of X?
Give an answer in decimal format and correct to at least 4 decimal place accuracy.
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