Question

What is the probability of choosing a prime number less than 25
from first 15 prime numbers?
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Answer 1

Answer:

there are 9 prime number less than 25

Answer 2

P(E) = $\dfrac{3}{25}$

Step-by-step explanation:

All possible outcomes are:

1, 2, 3, ........., 25

Total number of possible outcomes = 25

Let E be the event of getting a number is prime.

The prime numbers less than 25:

2, 3, 5, 7, 11, 13, 17, 19 and 23

The prime numbers less than 25 from first 15 prime numbers:

17, 19 and 23

Number of favourable outcomes = 3

∴ P(E) = $\dfrac{Number of favorable outcomes}{Total number of possible outcomes}$

= $\dfrac{3}{25}$

Thus, P(E) = $\dfrac{3}{25}$