High School

A number is selected at random from the first 50 natural numbers. What is the probability that the selected number is a multiple of 3 or 4?

A. 12/25
B. 14/25
C. 14/50
D. 8/25

Answer :

Final answer:

A. 12/25

The probability is then given by 24/50 = 12/25.

Explanation:

To find the probability that a number selected at random from the first 50 natural numbers is a multiple of 3 or 4, we need to find the number of multiples of 3 or 4 in the range 1-50.

There are 16 multiples of 3 and 12 multiples of 4 in this range. However, some numbers are counted twice as they are multiples of both 3 and 4.

So, we subtract the number of numbers that are multiples of both 3 and 4. There are 4 numbers that are multiples of both 3 and 4.

Therefore, the total number of numbers that are multiples of 3 or 4 is 16 + 12 - 4 = 24. The probability is then given by 24/50 = 12/25.