What is the probability of the event that a number chosen from 1 to 10

1.	What is the probability of the event that a number chosen from 1 to 100 is a prime number?(A) 1/5(B) 6/25(C) 1/4(D) 13/50
Answer» Correct answer is (C) 1/4 n(S) = 100 Let A be the event that the number chosen is a prime number. ∴ A = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97} ∴ n(A) = 25 ∴ P(A) = \(\frac{n(A)}{n(S)} = \frac{25}{100} = \frac{1}{4}\)

What is the probability of the event that a number chosen from 1 to 100 is a prime number?(A) 1/5(B) 6/25(C) 1/4(D) 13/50

Answer»

Correct answer is

(C) 1/4

n(S) = 100

Let A be the event that the number chosen is a prime number.

∴ A = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}

∴ n(A) = 25

∴ P(A) = \(\frac{n(A)}{n(S)} = \frac{25}{100} = \frac{1}{4}\)

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What is the probability of the event that a number chosen from 1 to 100 is a prime number?(A) 1/5(B) 6/25(C) 1/4(D) 13/50

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