Question

Sara draws the 3 of hearts from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second.

A. Determine the probability that the second card is another 3
B. Determine the probability the second card is another heart
C. Determine the probability that the second card is a club
D. determine the probability that the second card is a 5

Answer 1

The probability of drawing certain cards as the second card from a deck without replacement can be determined. The probability of drawing another 3 is 1/17, the probability of drawing another heart is 4/17, the probability of drawing a club is 4/17, and the probability of drawing a 5 is 4/51.

Step-by-step explanation:

In the given scenario, Sara draws the 3 of hearts from a standard deck of 52 cards without replacing it. We need to determine the probability of drawing certain cards as the second card.

A. To determine the probability that the second card is another 3, we need to find the number of remaining 3s in the deck, which is 3, and divide it by the number of remaining cards, which is 51. So the probability is 3/51, which simplifies to 1/17.

B. To determine the probability that the second card is another heart, we need to find the number of remaining hearts in the deck, which is 12, and divide it by the number of remaining cards, which is 51. So the probability is 12/51, which simplifies to 4/17.

C. To determine the probability that the second card is a club, we need to find the number of remaining clubs in the deck, which is 13, and divide it by the number of remaining cards, which is 51. So the probability is 13/51, which simplifies to 4/17.

D. To determine the probability that the second card is a 5, we need to find the number of remaining 5s in the deck, which is 4, and divide it by the number of remaining cards, which is 51. So the probability is 4/51.

Answer 2

The probability of drawing a second 3 is 1/17, the probability of drawing a second heart is 4/17, the probability of drawing a second club is 1/3, and the probability of drawing a second 5 is 4/51.

Step-by-step explanation:

To determine the probability of the second card being another 3, we need to consider that there are only three 3s left in the deck and a total of 51 cards remaining. Therefore, the probability is 3/51, which simplifies to 1/17.

To determine the probability of the second card being another heart, we need to consider that there are 12 hearts left in the deck and a total of 51 cards remaining. Therefore, the probability is 12/51, which simplifies to 4/17.

To determine the probability of the second card being a club, we need to consider that there are 13 clubs left in the deck and a total of 51 cards remaining. Therefore, the probability is 13/51, which simplifies to 1/3.

To determine the probability of the second card being a 5, we need to consider that there are four 5s left in the deck and a total of 51 cards remaining. Therefore, the probability is 4/51.