You draw one card from a 52-card deck. Then the card is replaced in the deck and the deck is shumed and you draw again. Find the probability of drawing a five the first time and a spade the second time. The probability of drawing a five the first time and a spade the second time is (Type an integer or a simplified fraction.)

To find the probability of drawing a five the first time and a spade the second time, we can calculate each probability separately. The probability of drawing a five from a standard 52-card deck is 4 out of 52, because there are 4 fives (one in each suit). This simplifies to \( \frac{1}{13} \). For the second draw, since the card is replaced, the probability of drawing a spade is 13 out of 52, as there are 13 spades in the deck. This simplifies to \( \frac{1}{4} \). Now, since the draws are independent (due to replacement), the combined probability is: \[ \frac{1}{13} \times \frac{1}{4} = \frac{1}{52}. \] Thus, the probability of drawing a five the first time and a spade the second time is \( \frac{1}{52} \).