The probability that the first card will be something is 1 in 1. The probability that the second card will match the number of the first card is 3 in 51. The probability that the third card will match is 2 in 50. The probability that the fourth card will match is 1 in 49. Multiply all of these together, and you get 6 in 124950, or 3 in 62475, or 1 in 20825, or about 0.00004802.
This solution assumes that the "number" of the card includes the possibility of it being an Ace or a face card, so the stated probability is simply the probability of drawing a four of a kind with a draw of four cards.
The first card can by any suit, since you just same the "same suit."
Whatever the first card is, there are 51 cards left.
Also, whatever that card is, there is one less of that suit.
So we have (12/51)(11/50)(10/49)(9/48)=33/16660 which is about 0.001981
or about once every 500 hands.
The problem is not really any harder if you specify what suit it is. The first fraction become 13/52 and you multiply that by 12/51...etc as above.
number of cards in a deck =52 number of cards that are not diamond =39 Probability that the card drawn is not a diamond= 39/52 = 3/4
The answer can be found using the formula a-n, a representing the total number of elements, and n representing the number of specific elements drawn. In this case we have 44 cards with 3 drawn so we use 44-3 = 1/85184. The probability is 1 in 85,184
The probability that all four of the cards are different suits is 13/17 * 13/25 * 13/49 = 2197/20,825 or 10.54982%.
number of cards in a deck =52 number of cards that are diamond =13 number of cards that are four =4 number of cards that are diamond and four =1 Probability that the card drawn is a diamond or a four= 13/52+4/52 -1/52 =16/52 or 4/13
The answer depends on how many cards are drawn, whether that is with or without replacement, whether the cards are drawn at random. If only one card is drawn, the probability is 0. If 51 cards are drawn, the probability is 1. If two cards are drawn, at random, and the first is not replaced, the probability is (2/52)*(1/51) = 2/2652 = 0.00075, approx.
The answer depends on how many cards are drawn, and whether they are drawn with or without replacement. If 1 card is drawn, the probability is 0, if 50 cards are drawn (without replacement), the probability is 1. If only two cards are drawn, at random and without replacement, the probability is (4/52)*(3/51) = 12/2652 = 0.0045
If five cards are drawn from a deck of cards without replacement, what is the probability that at least one of the cards is a heart?
The probability depends on:whether the cards are drawn randomly,how many cards are drawn, andwhether the cards are replaced before drawing the next card.If only 2 cards are drawn randomly, and without replacement, the probability is 0.00075 approximately.
The answer depends on how many cards are drawn and whether they are drawn at random. The probability that a single card, drawn at random from a deck of cards in 16/52 = 4/13.
The answer depends on how many cards are drawn and whether or not they are replaced afterwards.For a single card, drawn at random, the probability is 26/52 = 1/2.The answer depends on how many cards are drawn and whether or not they are replaced afterwards.For a single card, drawn at random, the probability is 26/52 = 1/2.The answer depends on how many cards are drawn and whether or not they are replaced afterwards.For a single card, drawn at random, the probability is 26/52 = 1/2.The answer depends on how many cards are drawn and whether or not they are replaced afterwards.For a single card, drawn at random, the probability is 26/52 = 1/2.
The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement.The probability for a single card, drawn at random, from a normal deck of playing cards is 1/4.The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement.The probability for a single card, drawn at random, from a normal deck of playing cards is 1/4.The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement.The probability for a single card, drawn at random, from a normal deck of playing cards is 1/4.The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement.The probability for a single card, drawn at random, from a normal deck of playing cards is 1/4.
number of cards in a deck =52 number of cards that are heart =13 number of cards that are diamond =13 Probability that the card drawn is a heart or a diamond=13/52 +13/52 =26/52 or 1/2