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A quick way is to simply count all the possible hands with red cards and compare to the total number of hands. There are 52 total cards and 26 red cards. We can use the binomial coefficient for this, otherwise known as the "choose" operator.
A = Total Hands: (52c5) = 2598960
B = Red Hands: (26c5) = 65780
C = Chance of red hand = A / B = 2.53%
Alternately you can use a permutation solution, for each card, in order, what is the chance to get a red card. There are 26 of 52 red cards on the first card, so 26/52. Then continue:
26/52 * 25/51 * 24/50 * 23/49 * 22/48 = 2.53%
If you play with the form of the equations, and understand a bit about combinations, you'll see that this second form is very closely related to the expanded version of the first form. This two methods have advantages in different situations. Here they are about the same.
What else can I help you with?
What is the probability of NOT drawing a face card form a standard deck of 52 cards?
The probability of NOT drawing a face card form a standard deck of 52 cards is 40 in 52, or 10 in 13.
What is the probability of drawing 3 cards that are all face cards?
The probability of drawing the first face card is 12 in 52. The probability of drawing the second is 11 in 51. The probability of drawing the third is 10 in 50. Thus, the probability of drawing three face cards is (12 in 52) times (11 in 51) times (10 in 50) or (1320 in 132600) or about 0.009955.
What is probability of drawing 10 of 52 cards?
If you draw 9 or fewer cards, the probability is 0. If you draw 10 or more card, the probability is 1.
If you draw a card from a standard deck of cards what is the probability of drawing a red card or a face card?
The probability of drawing a red card is 1/2 (26/52).The probability of drawing a face card is 3/13 (12/52).The probability of drawing a red face card is 3/26 (6/52).The probability of drawing a red card or a face card is 8/13 (32/52).2 out of 52or 1 out of 26.
What is the probability of drawing a black card frrom a deck of 52 cards?
There are 26 black cards in a deck of cards (13 spades and 13 clubs) There are 52 cards total in a deck of cards Therefore, the probability of drawing a black card from a deck of 52 cards: 26/52 0.5
What is the probability of drawing a red card out of 52?
Since 1/2 of the cards are red, the probability of drawing a red card is 1/2 or 0.5.
What is the probability of NOT drawing a face card form a standard deck of 52 cards?
The probability of NOT drawing a face card form a standard deck of 52 cards is 40 in 52, or 10 in 13.
What is the probability that a diamond card will be drawn out of a deck of cards?
The probability of drawing a diamond is a standard deck of 52 cards is 13 in 52, or 1 in 4, or 0.25.
What is the probability of drawing 3 cards that are all face cards?
The probability of drawing the first face card is 12 in 52. The probability of drawing the second is 11 in 51. The probability of drawing the third is 10 in 50. Thus, the probability of drawing three face cards is (12 in 52) times (11 in 51) times (10 in 50) or (1320 in 132600) or about 0.009955.
What is probability of drawing 10 of 52 cards?
If you draw 9 or fewer cards, the probability is 0. If you draw 10 or more card, the probability is 1.
If you draw a card from a standard deck of cards what is the probability of drawing a red card or a face card?
The probability of drawing a red card is 1/2 (26/52).The probability of drawing a face card is 3/13 (12/52).The probability of drawing a red face card is 3/26 (6/52).The probability of drawing a red card or a face card is 8/13 (32/52).2 out of 52or 1 out of 26.
What is the probability of drawing two hearts from a standard pack of cards is 3 divided 51 what is the probability that the two cards drawn are not both hearts?
The probability of drawing a heart from a fair deck is 1 in 4. If the card is replaced then the probability is again 1 in 4. The probability of drawing a card other than a heart is 3 in 4. Once again if the card is replaced then the probability remains 3 in 4
What is the probability of choosing a queen or a king from a standard deck of cards?
The probability of drawing a queen or king, in a single randomly drawn card, is 2/13. The probability of drawing one when you draw 45 cards without replacement is 1. The probability of choosing has nothing t do with the probability of drawing the card. I can choose a king but fail to find one!
What is the probability of drawing a black card frrom a deck of 52 cards?
There are 26 black cards in a deck of cards (13 spades and 13 clubs) There are 52 cards total in a deck of cards Therefore, the probability of drawing a black card from a deck of 52 cards: 26/52 0.5
What is the probability for drawing a red or black card?
The probability of drawing a red or black card from a standard deck of playing cards is 1 (a certainty). This is because these are the only options available.
What is the probability of drawing a black card and a 7?
To calculate the probability of drawing a black card and a 7 from a standard deck of 52 cards, we first determine the total number of black cards and the number of 7s in the deck. There are 26 black cards (13 spades and 13 clubs) and 4 sevens in the deck. The probability of drawing a black card and a 7 is calculated by multiplying the probability of drawing a black card (26/52) by the probability of drawing a 7 (4/52), resulting in a probability of (26/52) * (4/52) = 1/26 or approximately 0.0385.
What is the probability of drawing a card that is not a jack queen or king?
There are 40 cards that are NOT jacks, queens, or kings, so the probability of drawing one of these cards is 40/52 = 10/13 = 0.769
