The probability of picking ABC, in that order, from 5 A's, 3 B's, and 2 C's, without replacement, is (5 in 10) times (3 in 9) times (2 in 8), or 30 in 720, or 3 in 72, or 1 in 24.
If you pick 37 cards without replacement, or pick a card from the bottom of a mint deck, the probability is 1: it is a certainty. If you pick a random card from a deck, then the probability is 4/13.
The answer depends on how many cards are picked. It is 1 if you pick 49 cards without replacement. If only one card is picked at random, the probability is 1/13.
completely useless.
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?
To find the answer to probability, first add all the things together (5+3+2=10), then, find the number of things you will be taking from the group of things (3), and put together as a fraction (3/10). So the final answer is 3/10, which is unlikely. :D
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.
There are 15 primes through 50, so it would be: (15 * 14) / (50 * 49) = 3 / 35
17/51 chance
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