SOLUTION: A shelf has books with different colored covers; 5 are blue; 6 are red; 1 is orange; 3 are white and 1 is blue and white. What is the probability of choosing a book with blue on i

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Question 1202090: A shelf has books with different colored covers; 5 are blue; 6 are red; 1 is orange; 3 are white and 1 is blue and white. What is the probability of choosing a book with blue on it's cover and replacing it before choosing a book with white on its cover?
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

P(blue on cover) = (5+1)/16 = 6/16
Since the book will be replaced, the denominator will remain at 16 and the outcome of the 2nd selection can be computed independently:
P(white on cover) = (3+1)/16 = 4/16
The problem asks for both of these independent events occurring, so we must multiply the above two computed probabilities to get the overall probability:
P(B on cover then W on cover, on two independent selections) = (6/16)(4/16) = 24/256 = 3/32 or about 0.09375

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