There are 4 same cards in a deck of cards (4 Aces, 4 Kings, etc.).
The probability of drawing 4 same cards of a given quality from a deck of cards is;
P(4 same cards of a given kind) =
(4/52)∙(3/51)∙(2/50)∙(1/49) =
0.0000036937...
There are 13 different kinds of cards, so, the probability of drawing 4 same cards
of any given quality is P(4 same cards) =
13∙(0.0000036937...) ~ 0.00004801
=
0.0048%
In a standard deck the probability is 0. There are not two, but 26 cards of the same colour.
The probability of drawing a red heart is 1 in 4. This is the same as the probability of drawing a heart, as red is included as a superset of hearts.
1/13
It is a certainty if you pick 5 cards.
Let A be the amount of cards in a normal deck that are not considered to be red. Let B be the total amount of cards in that same deck. Answer: A / B
In a standard deck the probability is 0. There are not two, but 26 cards of the same colour.
The probability of drawing a red heart is 1 in 4. This is the same as the probability of drawing a heart, as red is included as a superset of hearts.
1/13
It is a certainty if you pick 5 cards.
As described, the deck contains 52 cards, numbered 1 to 13, four times in four colors, red, blue, black, and green. The probability of drawing more than one red card with the same number on it is zero.
No, it is the same.
Very low (less than 0.00000000001%)
The probability of five cards being four cards from one suit and one card from another suit is the same as the probability of drawing four cards from one suit multiplied by the probability of drawing one card from another suit, multiplied by 5 (for each of the possible positions this other card can be drawn in). The probability of drawing four cards from one suit is 12/51 x 11/50 x 10/49. The probability of drawing a fifth card from another suit is 39/48. All these numbers multiplied together (and multiplied by 5) come to 0.0429. So the probability of drawing a hand of five cards with four cards from one suit and one card from another is 5.29%
Let A be the amount of cards in a normal deck that are not considered to be red. Let B be the total amount of cards in that same deck. Answer: A / B
The probability that five cards chosen at random from a standard deck will all be the same suit is 12/51 * 11/50 * 10/49 * 9/48 = about 0.2%.
after drawing the red card; deck status is:25 red and 26 black cards, total 51 cardsFirst part, drawing 13 black cards:probability of drawing 1st black card: 26/51probability of drawing 2nd black card: 25/50and so on .......till, probability of drawing 13th black card: 14/39overall probability= 26/51 * 25/50 * ...... 14/39Second part, drawing 13 red cards:probability of drawing 1st red card: 25/51probability of drawing 2nd red card: 24/50and so on .......till, probability of drawing 13th red card: 13/39overall probability = 25/51 * 24/50* ...... 13/39
The probability of drawing a king given that you drew a spade or a club is 2 out of 26, or 1 out of 13. This is because there are 2 kings (one from spades and one from clubs) out of a total of 26 spade and club cards.