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 5 hats randomly out of the drawer and returning each hat before taking out the next one?	Choose the correct option:
A) 1/8  B) 1/4  C) 1/2  D) 5/8  E) 7/12
Let's find the probability of getting exactly 3 red hats.   One possible case is red-red-red-blue-blue.   The probability of this is 1/2*1/2*1/2*1/2*1/2 = 1/32   There are 5C3 = 10 such cases so we need to multiply this by 10.   P(exactly 3 red hats) = 10*1/32 = 5/16   Clearly the probability of getting exactly 3 blue hats will also be 5/16.   The sum of the probabilities is 5/16+5/16 = 5/8   The answer is 5/8.
<result>D</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 5 hats randomly out of the drawer and returning each hat before taking out the next one?