# What is the probability that two cards drawn at random without replacement and one after other from a deck of playing cards will both be aces?

## What is the probability that two cards drawn at random without replacement and one after other from a deck of playing cards will both be aces?

1/221
WITHOUT REPLACEMENT: If you draw two cards from the deck without replacement, what is the probability that they will both be aces? P(AA) = (4/52)(3/51) = 1/221.

What is the probability of getting 2 cards of the same suit?

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

### What is the probability of having a pair when drawing 2 cards on a standard deck of cards?

We know from above that there are 2,652 possible ways to draw two cards out of the deck, so the probability that a randomly drawn set of two cards is a pair is 78/2,652, or 0.0294, or 2.94\%.

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What is the probability of drawing all 3 red cards?

The probability of drawing all 3 red cards can be found by multiplying their probabilities together. This gives 3/7 x 2/6 x 1/5 = 6/210 or 3\% Powered by Create your own unique website with customizable templates.

## How many cards are drawn at random from a deck?

Two cards are drawn at random (without replacement) from a regular deck of 52 cards. What is the probability that the first card is a red and the second card is heart? Let \$A\$ be the event that a red Stack Exchange Network

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

Both cards are hearts: The probability of drawing a heart on the first draw is \$\\Pr(H) = 13/52\$. Of the \$51\$ cards that remain, \$12\$ are hearts. Hence, the probability of drawing a heart given that a heart was drawn on the first draw is \$\\Pr(H \\mid H) = 12/51\$.

### 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.