The probability the first ball will be red is 5/8.
The probability that the first and second balls will be red is 5/8 x 4/7.
The probability that the first, second, and third balls will be red is 5/8 x 4/7 x 3/6, or overall 60/336 (about 17.86%).
If you pick enough cards, without replacement, the probability is 1. The probability for a single random draw is 1/26.
completely useless.
When you pick an object and do not return it, in probability it is termed "without replacement".
Because with replacement, the total number of possible outcomes - the denominator of the probability ratio - remains the same. Without replacement the number of possible outcomes becomes smaller.
If you draw 40 cards without replacement the probability is 1! If you draw just one, the probability is 1/4.
The answer depends on how many cards are drawn.
If you pick enough cards, without replacement, the probability is 1. The probability for a single random draw is 1/26.
The probability of getting two prime numbers when two numbers are selected at random and without replacement, from 1 to 10 is 2/15.
completely useless.
The probability is 7,893,600/311,875,200 = 0.0253
When you pick an object and do not return it, in probability it is termed "without replacement".
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?
Because with replacement, the total number of possible outcomes - the denominator of the probability ratio - remains the same. Without replacement the number of possible outcomes becomes smaller.
The probability of drawing the first ace is 4 in 52. The probability of getting the second ace is 3 in 51. The probability of getting the third ace is 2 in 50. The probability, then, of drawing three aces is (4 in 52) times (3 in 51) times (2 in 50), which is 24 in 132600, or 1 in 5525, or about 0.0001810
If 1 queen was drawn out of the 52 card deck without replacement, the probability of choosing a queen on the 2nd draw is 3/51 or 1/17.
The probability of drawing aces on the first three draws is approx 0.0001810