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.
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.
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.
If you pick enough cards, without replacement, the probability is 1. The probability for a single random draw is 1/26.
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.
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.
"Playing cards" are chosen at random.
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.
hypergeometric distribution f(k;N,n,m) = f(3;52,4,3)
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.
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.
If you pick enough cards, without replacement, the probability is 1. The probability for a single random draw is 1/26.
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
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.
There are 15 primes through 50, so it would be: (15 * 14) / (50 * 49) = 3 / 35
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.
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.
The probability is 1 (a certainty) if 39 cards are drawn without replacement.On a single random draw the probability is 14/52 = 7/26.The probability is 1 (a certainty) if 39 cards are drawn without replacement.On a single random draw the probability is 14/52 = 7/26.The probability is 1 (a certainty) if 39 cards are drawn without replacement.On a single random draw the probability is 14/52 = 7/26.The probability is 1 (a certainty) if 39 cards are drawn without replacement.On a single random draw the probability is 14/52 = 7/26.