One card is randomly drawn from a standard deck of playing cards where aces are not considered numbered cards and are the highest card in the suit. The card is replaced and another card is drawn. What is the probability that both cards drawn are numbered cards greater than two?
A) $\frac { 1 } { 169 }$
B) $\frac { 1 } { 4 }$
C) $\frac { 49 } { 169 }$
D) $\frac { 64 } { 169 }$
E) $\frac { 25 } { 169 }$

Question

Quizplus · Accepted Answer

There are 36 numbered cards greater than two in a deck (4 suits x 9 cards: 3-10). The probability of drawing one such card is 36/52. Since the card is replaced, the probability for the second draw is the same. Thus, the probability for both draws is (36/52) * (36/52) = 1296/2704 = 64/169.

One Card Is Randomly Drawn from a Standard Deck of Playing