How many pairs of cards are in a deck?

So there are 12 + 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 78 different pair combinations. These are all unique, regardless of the 5th card.

What is the probability of getting 2 of the same card?

So is the probability to get two cards of any other suit. Thus the total probability to get two cards of the same suit is 4*1/17=4/17.

What is the probability of drawing two kings without replacement?

The probability of choosing a second king after you’ve chosen the first king is 3/51 since there are 3 kings left in the deck and there are 51 cards left in the deck. Hence, the probability of choosing two kings without replacement is (4/52)*(3/51) is approximately . 004525.

What is the probability of drawing a king from a regular playing deck and without replacement getting a second king on the next draw?

1 Expert Answer But, for the second draw, assuming your first draw was a king, the probability would be 3 out of 51 because now there are just 3 kings and 51 cards (it says “without replacement” so you don’t put the first card back in the deck).

How many cards are drawn from a deck of 52 cards?

Two cards are drawn at random from a standard deck of 52 cards. What is the probability that both cards are aces? | Socratic Two cards are drawn at random from a standard deck of 52 cards.

Is the first card replaced before the second card is taken?

It is not indicated whether the first card is replaced before the second is taken… Let’s consider both cases. There are 4 aces in a deck of cards which has 52 cards in total. (The number of aces remaining is 1 less, and there is 1 less card to choose from.)

Is the first card a diamond and the second card a heart?

Diamonds and hearts are red; clubs and spades are black. There are $13$ cards of each suit. We want to find the probability that the first card is red and the second card is a heart when two cards are drawn without replacement from a standard deck. There are two possibilities: The first card is a diamond and the second card is a heart.

What is the probability of drawing a diamond on the first draw?

The first card is a diamond and the second card is a heart: The probability of drawing a diamond on the first draw is $\\Pr(D) = 13/52$. Of the $51$ cards that remain, $13$ are hearts.