Table of Contents
- 1 What is the probability of getting 2 Kings?
- 2 How many different 5 card hands contain 2 aces and 3 Kings?
- 3 How many different 5 card hands are there?
- 4 What is the probability that a five card poker hand has the following?
- 5 What is the probability of all 5 cards from the same suit?
- 6 How many times can you draw two kings from four cards?
What is the probability of getting 2 Kings?
What is the probability of choosing two kings? Assuming a well-shuffled deck, so that the probability of getting any card is the same: The probability of getting the first king is 4/52 or 1/13. The probability of getting a second king is 3/51.
How many different 5 card hands contain 2 aces and 3 Kings?
24 five-card hands
24 five-card hands contain exactly 3 kings and 2 aces.
How many ways are there of being dealt If 5 card hand out of a standard 52 card deck if no queens?
2598960 different ways
= 2598960 different ways to choose 5 cards from the available 52 cards.
What is the probability of getting 2 Queens from a pack of 52 playing cards?
We pick a card, write down what it is, then put it back in the deck and draw again. To find the P(QQQ), we find the probability of drawing the first queen which is 4/52. The probability of drawing the second queen is also 4/52 and the third is 4/52.
How many different 5 card hands are there?
2,598,960 distinct
Probability of a Full House First, count the number of five-card hands that can be dealt from a standard deck of 52 cards. We did this in the previous section, and found that there are 2,598,960 distinct poker hands. Next, count the number of ways that five cards can be dealt to produce a full house.
What is the probability that a five card poker hand has the following?
The probability is approximately 0.00198079. IF YOU MEAN TO EXCLUDE STRAIGHT FLUSHES, SUBTRACT 4*10 (SEE THE NEXT TYPE OF HAND): the number of hands would then be (4-choose-1)*(13-choose-5)-4*10, with probability approximately 0.0019654.
How many possible 5 card hands are there?
2,598,960
How many hands can 5 cards form a straight in poker?
All 5 cards are from the same suit and they form a straight (they may also be a royal flush). The number of such hands is 4*10, and the probability is 0.0000153908. IF YOU MEAN TO EXCLUDE ROYAL FLUSHES, SUBTRACT 4 (SEE THE NEXT TYPE OF HAND): the number of hands would then be 4*10-4 = 36, with probability approximately
What is the probability of all 5 cards from the same suit?
The probability is 0.003940. IF YOU MEAN TO EXCLUDE STRAIGHT FLUSHES AND ROYAL FLUSHES (SEE BELOW), the number of such hands is 10*[4-choose-1]^5 – 36 – 4 = 10200, with probability 0.00392465 A FLUSH Here all 5 cards are from the same suit (they may also be a straight). The number of such hands is (4-choose-1)* (13-choose-5).
How many times can you draw two kings from four cards?
Likewise, the number of ways to draw two Kings from four is 6. The last card can be any one of the remaining cards that is not an Ace or a King, i.e. there are 44 possibilities. So the number of hands including two Aces and two Kings is 6*6*44 = 1,584.
How many hands can there be with 2 Aces and 2 Kings?
The last card can be any one of the remaining cards that is not an Ace or a King, i.e. there are 44 possibilities. So the number of hands including two Aces and two Kings is 6*6*44 = 1,584. The probability that a hand contains exactly two Aces and two Kings is equal to the proportion of all possible hands that contain two Aces and two Kings.