Question

27. Find the probability that a number selected from the number 1 to 25 is not a prime
number when each of the given numbers is equally likely to be selected. [CBSE 2005]​

Answer 1

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Answer 2

Answer:

Given and find:

• Find the probability that a number selected from the number 1 to 25 is not a prime number when each of the given numbers is equally likely to be selected.

Calculations:

• We know that, given numbers are (1-25) and the total number of outcomes is 25.

• Non-prime numbers: = 1, 4, 6, 8, 9 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25.

• We are getting the number 16 as favourable.

${\sf{\underline{\boxed{\green{\sf{Probability = \dfrac{Number \: of \: favourable \: outcomes}{Total \: number \: of \:outcomes} }}}}}}$

Therefore, the probability of getting a non-prime number would be $\sf \dfrac{16}{25}$.