During a game of Gin Rummy Sven needs the four of diamonds t

During a game of Gin Rummy, Sven needs the four 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 four of diamonds? Express your answer as an integer or a simplified fraction. The probability that the next card picked is the four of diamonds is

Solution

During a game of Gin Rummy, Sven needs the four 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 four of diamonds? Express your answer as an integer or a simplified fraction. The probability that the next card picked is the four of diamonds is

There are 52 cards in a standard deck. If 20 were dealt out between the two players, then there\'s only 32 left in the deck.

The probability that the four of diamonds is in the deck is 100 percent .

So in this case, the probability of drawing that card first doesn\'t affect anything

The probability is 1 (there\'s only 1 four of diamonds in a deck of cards) out of 32 (the number of cards remaining there ).

So the required fraction is 1/32.

The probability that the next card picked is the four of diamonds is 1/32