# What is the probability that the first two cards in a standard deck of 52 playing cards are a pair?

## What is the probability that the first two cards in a standard deck of 52 playing cards are a pair?

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%.

## What is the probability of drawing 2 cards that are all 2 from a deck of cards?

Once a card of a certain unit is drawn, there are just 3 cards of the same unit left, so the probability of drawing the second of the same unit is 3/51=1/17. The product of two probabilities is the total probability to draw two cards of the same given unit, that is 1/(13*17)=1/221.

What is the formula of probability?

In general, the probability is the ratio of the number of favorable outcomes to the total outcomes in that sample space. It is expressed as, Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).

### What is the probability of getting an ace if I choose a card at random from a standard pack of 52 playing cards?

The probability of picking up an ace in a 52 deck of cards is 4/52 since there are 4 aces in the deck. The odds of picking up any other card is therefore 52/52 – 4/52 = 48/52.

### What is the probability of being dealt a pair?

According to Wikipedia, the probability of being dealt any pocket pair as the starting hand is ~6% (78/1326=0.0588), but yet the probability of facing another player holding a larger pair when holding a pocket pair yourself in pre-flop is significantly high especially when you’re playing with 6 or more players.

What is the probability of being dealt four of a kind?

0.02401%
Frequency of 5-card poker hands

Hand Distinct hands Probability
Four of a kind 156 0.02401%
Full house 156 0.1441%
Flush (excluding royal flush and straight flush) 1,277 0.1965%
Straight (excluding royal flush and straight flush) 10 0.3925%

## How do you find the probability of cards?

You can use the following steps to calculate the probability: Step 1: Identify the number of favourable events. Step 2: Find the total number of results that can occur. Step 3: Divide the number of favourable events by the total number of possible outcomes.

## What is the probability of being dealt two clubs in a row from a well shuffled deck of 52 playing cards without replacing the first card drawn?

The desired probability is given by the hypergeometric pmf: P(X=2) = (13C2)(39C0)/(52C2) = 1/17. The probability of drawing the first club is 13/52. Without replacement, there are 12 clubs and 51 total cards, so the probability of drawing the second club is 12/51.

What is the probability of selecting ace?

What is the probability that a card selected at random from a standard deck of 52 cards is an ace or a heart? Ace or heart probability is 16/52=4/13.

### What is the probability that the card is an ace?

The probability of drawing an ace of spades or an ace of clubs is 1/52 + 1/52, or 1/26. the restriction is that the combined events must be mutually exclusive, that is they both cannot occur at the same time. The multiplicative rule applies to “both-and” cases.

### What is the chance of a 2nd card being the same value as the first?

The first card you’re dealt has a 4/52 chance of being any of the 13 values (2 thru Ace). The 2nd card you’re dealt has a 4/51 chance of being any of the remaining 12 values, plus a 3/51 chance of being the same value as the first card.

What is the probability of drawing 3 cards?

3cards from a deck one at a time what is the probability: You draw a Club, a Heart and a Diamond (in that order) P(1st is Club ∩ 2nd is Heart ∩ 3rd is Diamond) = P(1st is Club)*P(2nd is Heart)*P(3rd is Diamond) = (13/52) * (13/51) * (13/50) =.0166

## What is the probability of one offspring being male?

A certain species of animal has a 1/2 probability of any one offspring being male and a 1/2 probability of any one offspring being female.

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