Suppose an urn contains 10 marbles: 4 are white and 6 are black. We will draw marbles randomly, without replacement, until the urn is empty. Define the concept "whack" as follows: • A marble is whack if it is either (i) white and one of the first 5 marbles drawn, or (ii) black and one of the last 5 marbles drawn. If the first 4 draws are whack, what is the probability the 5th draw will also be whack?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Suppose an urn contains 10 marbles: 4 are white and 6 are black. We will
draw marbles randomly, without replacement, until the urn is empty.
Define the concept "whack" as follows:
• A marble is whack if it is either (i) white and one of the first 5 marbles
drawn, or (ii) black and one of the last 5 marbles drawn.
If the first 4 draws are whack, what is the probability the 5th draw will also
be whack?
Transcribed Image Text:Suppose an urn contains 10 marbles: 4 are white and 6 are black. We will draw marbles randomly, without replacement, until the urn is empty. Define the concept "whack" as follows: • A marble is whack if it is either (i) white and one of the first 5 marbles drawn, or (ii) black and one of the last 5 marbles drawn. If the first 4 draws are whack, what is the probability the 5th draw will also be whack?
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