From the integers 10 to 25 both numbers inclusive, a boy picked a number. What is the probability that it is either prime or even number

1 answer

There are a total of 16 integers from 10 to 25 (10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25).

Prime numbers between 10 and 25 are 11, 13, 17, 19, 23. There are 5 prime numbers.

Even numbers between 10 and 25 are 10, 12, 14, 16, 18, 20, 22, 24. There are 8 even numbers.

To find the probability of the boy picking a number that is either prime or even, we add the prime numbers and the even numbers and then divide by the total numbers:

5 (prime numbers) + 8 (even numbers) = 13

Probability = 13/16

Therefore, the probability that the boy picked a number that is either prime or even is 13/16 or approximately 0.8125.