Question

1. during a game of gin rummy, sven needs the eight of diamonds to make a straight in his hand. he and the other player have been dealt 10 cards each, the other player does not have the card he wants, and all other cards are in the deck. what is the probability that the next card picked from the deck is the eight of diamonds?

Explanation:

Determine the total number of cards in a standard deck

$$ N_{\text{total}} = 52 $$

Calculate the number of cards remaining in the deck

$$
LATEXBLOCK0
$$

Calculate the probability of drawing the eight of diamonds

$$ P(\text{8 of diamonds}) = \frac{1}{32} $$

Answer:

During a game of Gin Rummy, Sven needs the eight of diamonds to make a straight in his hand. He and the other player have been dealt 10 cards each, the other player does not have the card he wants, and all other cards are in the deck. What is the probability that the next card picked from the deck is the eight of diamonds? <blank>\(\frac{1}{32}\)</blank>