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What is the probability of the event that a number chosen from 1 to 50 is a prime number? - Algebra

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MCQ

What is the probability of the event that a number chosen from 1 to 50 is a prime number?

Options

  • `3/10`

  • `1/2`

  • `1/4`

  • `3/25`

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Solution

`3/10`

Explanation:

S = {1, 2, ..... , 50}

∴ n(S) = 50

Let A be the event of getting a prime number.

∴ A = {2, 3, 5, 7, 11, 13, 17 ,19, 23, 29, 31, 37, 41, 43, 47}

∴ n(A) = 15

∴ P(A) = `("n"("A"))/("n"("S")) = 15/50 = 3/10`

Concept: Probability of an Event
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