Maria bought \(4\) black and a certain number of red and blue pencils at \(15\) cents each and carried them home in one

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Maria bought \(4\) black and a certain number of red and blue pencils at \(15\) cents each and carried them home in one bag. After Maria came home, she took out one pencil at random to write a note and then put the pencil back into the bag. Sometime later, she needed to write another note and again took out a pencil from the bag. If the probability that Maria wrote both her notes in black is \(\dfrac1{36},\) how much did she spend on all pencils?

A. \(\$3\)
B. \(\$3.2\)
C. \(\$3.4\)
D. \(\$3.6\)
E. \(\$3.8\)

Answer: D

Source: Manhattan GMAT