60% chance or 15/25
On one random draw, the probability is 2/13.
The probability, in one draw, is 6/20 or 30%
97% chance of selecting a good one
4/7
12/52nd
The probability of picking a black ace in one random draw from a normal pack of playing cards is 1/26.
The probability of picking one red card of a deck of 52 playing cards is 26 out of 52, or 1 out of 2.
Although there are infinitely many primes, they become rarer and rarer so that as the number of numbers increases, the probability that picking one of them at random is a prime number tends to zero*. In the first 10 numbers there are 4 primes, so the probability of picking one is 4/10 = 2/5 = 0.4 In the first 100 numbers there are 26 primes, so the probability of picking one is 25/100 = 1/4 = 0.25 In the first 1,000 numbers there are 169 primes, so the probability of picking one is 168/1000 = 0.168 In the first 10,000 numbers there are 1,229 primes, so the probability of picking one is 0.1229 In the first 100,000 numbers there are 9592 primes, so the probability of picking one is 0.09592 In the first 1,000,000 numbers there are 78,498 primes, so the probability of picking one is 0.078498 In the first 10,000,000 numbers there are 664,579 primes, so the probability of picking one is 0.0664579 * Given any small value ε less than 1 and greater than 0, it is possible to find a number n such that the probability of picking a prime at random from the numbers 1-n is less than the given small value ε.
On one random draw, the probability is 2/13.
1 in 26
The probability of any one number on a die being rolled is 1/6 or 16.67%.
The probability, in one draw, is 6/20 or 30%
There is a 60% chance you will choose a black, 20% chance of a green, and 20% chance of a blue.
97% chance of selecting a good one
To determine the probability of picking 3 cards of one suit and 1 card of another in a standard 52 card deck, consider each card one at a time. The probability of picking a card in any suit is 52 in 52, or 1. Since there are now only 12 cards in the first suit, the probability of picking a card in the same suit is 12 in 51, or 4 in 17, or 0.2353. Since there are now only 11 cards in the first suit, the probability of picking a card in the same suit is 11 in 50, or 0.22. Since there are still 39 cards in the remaining three suits, the probability of picking a card in a suit different than the first is 39 in 49, or 0.7959. The probability of picking 3 cards of one suit and 1 card of another in a standard 52 card deck is, therefore, the product of the probabilities of each card, or (52 in 52) (12 in 51) (11 in 50) (39 in 49), or 267696 in 6497400, or 0.0412, or about 1 in 25.
1/52 or one out of fifty-two
4/7