In United States currency, a nickel is worth \(5\) cents, a penny is worth \(1\) cent, and a dime is worth \(10\) cents.

In United States currency, a nickel is worth \(5\) cents, a penny is worth \(1\) cent, and a dime is worth \(10\) cents. \(100\) cents equals one dollar. If a hand purse contains \(6\) nickels, \(5\) pennies, and \(4\) dimes, what is the probability of picking a coin other than a nickel twice in a row if the first coin picked is not put back?

A. \(\dfrac8{25}\)

B. \(\dfrac{12}{35}\)

C. \(\dfrac{13}{35}\)

D. \(\dfrac9{25}\)

E. \(\dfrac{17}{25}\)

Answer: B

Source: Manhattan GMAT