Best Answer

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.

🙏

🤨

😮

Study guides

Q: What is the probability of the choosing a prime number?

Write your answer...

Submit

Related questions

The answer will depend on what numbers you can select from.

The prime numbers from one to nine are 2, 3, 5, and 7. There are nine numbers from one to nine. The probability is 4 (the number of prime numbers) over 9 (the total number of numbers). Therefore, the probability of choosing a prime number is 4/9 or about 44 percent.

24/50

In the sample space [1,20], there are 8 prime numbers, [2,3,5,7,11,13,17,19]. The probability, then, of randomly choosing a prime number in the sample space [1,20] is (8 in 20), or (2 in 5), or 0.4. The probability of choosing two of them is (8 in 20) times (7 in 19) which is (56 in 1064) or (7 in 133) or about 0.05263.

There are 12 composite (and 8 primes) in the first twenty whole numbers. So the probability of randomly choosing a non-prime is 12/20 or 60%.

If you have an equal amount of odd and even numbers in a determined sample space, the probability of choosing and odd number is 1/2 (.5).

Half

"The probability of getting a prime number in a die is 4/6" Actually there are 3 prime numbers on a die. 2, 3, and 5 are all prime numbers. So this tells you that you have 3 chances it will be a prime number and 3 chances it will not be a prime number. So the probability of getting a prime number on a die would be 3/6 or 1/2.

When a fair die is thrown the probability that a prime number will occur is 2:1

The probability of rolling an even number on a die is 3 in 6 or 1 in 2. The probability of rolling a prime on a die is 3 in 6 or 1 in 2, but one of those primes is also even. Simply add the probabilities and you find that the probability of rolling an even number or a prime on a die is 5 in 6.

1 / total number of people

The probability of getting at least one prime number in two dice is 3/4.

The probability of eventually throwing a prime number is 1. On a single throw, of a fair die, the probability is 1/2.

In this problem, the total number of possibilities is 20, so n = 20.The set of prime numbers from 1 to 20 = {2, 3, 5, 7, 11, 13, 17, 19}, so f = 8Probability = f/n = 8/20 = 0.4.You have a 2 in 5 chance of choosing a prime number from 1 to 20.

prime umber

no. because there are more composite numbers than prime numbers It depends on the place you choose to pick the prime number (e.g. 457 or 7577?). The bigger the number the less likely it is a prime.A formula gives the probability for a number being prime (Prime Number Theorem).

The probability is 3 out of 10.

The three prime numbers on the cube are: 2 3 and 5 so the probability is 3/6 or 1/2 simplified

no.

If the numbers are 1 to 6, there are three prime numbers in that range, a probability of 50%.

33%

Since the word "probability" contains only letters, then the probability of choosing a letter from the word "probability" is 1, i.e. it is certain to happen.

the probability is 4 out of 6

The probability is 8/20.

The answer depends on the sum of WHAT!