If a number is selected from numbers 1 to 25, then find the probability that it is a prime number:

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OPSC ASO (Maths & Reasoning) 27 Aug 2022 Official Paper
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  1. 3/5
  2. 1/5
  3. 7/25
  4. 9/25

Answer (Detailed Solution Below)

Option 4 : 9/25
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Given:

Numbers selected from 1 to 25.

Prime numbers between 1 and 25: {2, 3, 5, 7, 11, 13, 17, 19, 23}.

Total numbers = 25.

Total prime numbers = 9.

Formula Used:

Probability = (Favorable outcomes) / (Total outcomes).

Calculation:

Favorable outcomes = 9.

Total outcomes = 25.

Probability = 9 / 25.

The probability that a number selected is a prime number is 9 / 25.

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