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How do you solve Two cards are chosen at random from a deck of 52 cards without replacement What is the probability that the first card is a jack and the second card is a ten?
Wiki User
∙ 13y ago
The probability that the first card is a jack is 4 in 52. The probability that the second card is 1 ten is 4 in 51. Since these are sequential events, simply multiply, giving (4/52)(4/51) or (16/2652) or about 0.00603.
Wiki User
∙ 13y ago
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As defined in the text random sampling requires sampling with replacement?
Not necessarily. A random sample can occur with or without replacement, depending on what makes more sense. For instance, trying to calculate the odds of a dice roll would require a random sample with replacement (because it is perfectly possible to get a 6 on each and every die); trying to calculate the odds of a poker hand, however, would require random sampling without replacement (the ace of spades can only show up once in any given round of dealing). when the population size is large enough, the difference between the two is meaningless; people who make national surveys, for instance, usually choose people randomly without replacement (there's no possibility they will survey the same person twice) but treat it as though the were sampling with replacement (because the math is easier). The only requirement for a random sample is that each object that might be chosen has a known and well-defined probability of being chosen at any given moment. For random samples with replacement that probability is always the same; For random samples without replacement that probability is determined by the objects that have previously been selected.
What is the probability of drawing a heart in a deck of cards?
The probability, if you draw 40 cards, without replacement, is 1. That is, it is a certainty. The probability on a single random draw is 1/4.
What is the probability of getting a black 4 out of a 52 deck of cards?
If you pick enough cards, without replacement, the probability is 1. The probability for a single random draw is 1/26.
What is the probability that a diamond will not be pulled out of a deck of cards?
It is 0 - if you pull out 40 or more cards without replacement! If you pull out only one, at random, the probability is 3/4.
What is the probability that the card chosen is a queen?
For a single random choice from a standard deck, the probability is 1/13.For a single random choice from a standard deck, the probability is 1/13.For a single random choice from a standard deck, the probability is 1/13.For a single random choice from a standard deck, the probability is 1/13.
What are chosen at random from a standard deck of cards with replacement what is the probability of getting to aces?
"Playing cards" are chosen at random.
What is the probability of choosing a queen or a king from standard deck of 52 playing cards?
The answer depends on how many cards are drawn, whether or not at random, with or without replacement. The probability for a single card, drawn at random, from a normal deck of playing cards is 2/13.The answer depends on how many cards are drawn, whether or not at random, with or without replacement. The probability for a single card, drawn at random, from a normal deck of playing cards is 2/13.The answer depends on how many cards are drawn, whether or not at random, with or without replacement. The probability for a single card, drawn at random, from a normal deck of playing cards is 2/13.The answer depends on how many cards are drawn, whether or not at random, with or without replacement. The probability for a single card, drawn at random, from a normal deck of playing cards is 2/13.
Three cards are chosen at random from a standard deck of cards without replacement What is the probability of getting three Aces?
hypergeometric distribution f(k;N,n,m) = f(3;52,4,3)
As defined in the text random sampling requires sampling with replacement?
Not necessarily. A random sample can occur with or without replacement, depending on what makes more sense. For instance, trying to calculate the odds of a dice roll would require a random sample with replacement (because it is perfectly possible to get a 6 on each and every die); trying to calculate the odds of a poker hand, however, would require random sampling without replacement (the ace of spades can only show up once in any given round of dealing). when the population size is large enough, the difference between the two is meaningless; people who make national surveys, for instance, usually choose people randomly without replacement (there's no possibility they will survey the same person twice) but treat it as though the were sampling with replacement (because the math is easier). The only requirement for a random sample is that each object that might be chosen has a known and well-defined probability of being chosen at any given moment. For random samples with replacement that probability is always the same; For random samples without replacement that probability is determined by the objects that have previously been selected.
What is the probability of drawing a heart in a deck of cards?
The probability, if you draw 40 cards, without replacement, is 1. That is, it is a certainty. The probability on a single random draw is 1/4.
What is the probability of getting a black 4 out of a 52 deck of cards?
If you pick enough cards, without replacement, the probability is 1. The probability for a single random draw is 1/26.
What is the probability of drawing two aces from a deck of 52 cards?
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
What is the probability that a diamond will not be pulled out of a deck of cards?
It is 0 - if you pull out 40 or more cards without replacement! If you pull out only one, at random, the probability is 3/4.
What is the probability of picking 2 prime numbers chosen at random from a list of numbers 1 through 50 without replacement?
There are 15 primes through 50, so it would be: (15 * 14) / (50 * 49) = 3 / 35
What are the odds of drawing a diamond from a ordinary deck of cards?
The probability, if you draw 40 cards, without replacement, is 1. That is, it is a certainty. The probability on a single random draw is 1/4.
How do you find the probability of a random point being chosen in a shaded region in a circle?
The probability of a single point being chosen is 0.The probability of a single point being chosen is 0.The probability of a single point being chosen is 0.The probability of a single point being chosen is 0.
What is the probability of drawing a 6 of hearts?
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 1/52.
