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How can 20 balls, 10 white and 10 black, be put into two
Chapter 3, Problem 3STE(choose chapter or problem)
Problem 3STE
How can 20 balls, 10 white and 10 black, be put into two urns so as to maximize the probability of drawing a white ball if an urn is selected at random and a ball is drawn at random from it?
Questions & Answers
QUESTION:
Problem 3STE
How can 20 balls, 10 white and 10 black, be put into two urns so as to maximize the probability of drawing a white ball if an urn is selected at random and a ball is drawn at random from it?
ANSWER:
Step 1 of 2
(a)
We are asked to find the probability of drawing a white ball if an urn is selected at random and a ball is drawn at random from it.
Let the balls be divided into 2 urns in the following way.
Let urn 1 contains black and white and urn 2 contains black and white.
The probability of drawing a white ball from urn 1 is,
The probability of drawing a white ball from urn 2 is,