An urn contains 1 green ball, 1 red ball, 1 yellow ball and 1 white ball....
An urn contains 1 green ball, 1 red ball, 1 yellow ball and 1 white ball. I draw 4 balls with replacement. What is the probability that there is at least one color that is appears exactly twice?
Homework Answers
probability that there is at least one color that is appears exactly twice
=P(select two colors from 4 and both appear twice and arrange them)+P(select a color from 4 which appear twice, select 2 out of 4 places for it and then arrange two different colors in 2 remaining places)
=(4C2)*(4C2)/44 +(4C1)*(4C2)*3*2/44 =6*6/256+4*6*3*2/256 =180/256 =45/64
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