Select the correct answerIf a number is selected at random from the first 50 natural numbers, what will be the probability that the selected number is a multiple of 3 and 4?Options 225None of these. 750

The first step is to find the numbers that are multiples of both 3 and 4 within the first 50 natural numbers.

The least common multiple of 3 and 4 is 12. So, we need to find multiples of 12 within 50. They are 12, 24, 36, and 48. So, there are 4 such numbers.

The probability of an event is given by the formula:

P(E) = Number of favorable outcomes / Total number of outcomes

Here, the total number of outcomes is 50 (since a number is selected at random from the first 50 natural numbers), and the number of favorable outcomes is 4 (since there are 4 numbers which are multiples of both 3 and 4).

So, the probability that the selected number is a multiple of 3 and 4 is 4/50 = 0.08.

Therefore, none of the given options is correct.