A drawer holds 5 red hats and 5 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 4 hats randomly out of the drawer and returning each hat before taking out the next one?  Pick one:
A) 1/8
B) 1/4
C) 1/2
D) 3/8
E) 7/12
Let's find the probability of getting exactly 3 red hats.   One possible case is red-red-red-blue.   The probability of this is 1/2*1/2*1/2*1/2 = 1/16   There are 4C3 = 4 such cases so we need to multiply this by 4.   P(exactly 3 red hats) = 4*1/16 = 1/4   Clearly the probability of getting exactly 3 blue hats will also be 1/4.   The sum of the probabilities is 1/4+1/4 = 1/2   The answer is 1/2.
<result>C</result>
A drawer holds 5 red hats and 5 blue hats. What is the probability of getting exactly three red hats or exactly three blue hats when taking out 4 hats randomly out of the drawer and returning each hat before taking out the next one?