Question 150
An urn contains 8 balls, on which the numbers from 1 to 8 are written. Federica draws two balls in succession, erases the number written on the first one and replaces it with its double, erases the number on the second ball and replaces it with its quadruple. She then puts the two balls back into the urn (for example, if Federica drew balls 3 and 7 in this order, she will put back into the urn two balls with the numbers 6 and 28). Finally, she draws a ball again: what is the probability that the drawn ball has the number 8?
(A) $\frac{1}{8}$
(B) $\frac{1}{7}$
(C) $\frac{7}{44}$
(D) $\frac{9}{56}$
(E) $\frac{1}{6}$
(A) $\frac{1}{8}$
(B) $\frac{1}{7}$
(C) $\frac{7}{44}$
(D) $\frac{9}{56}$
(E) $\frac{1}{6}$