Question

If a number is chosen from the first 150 natural numbers, then find the probability that the number is either a multiple of \(3\) or \(4\).

• A. \(\dfrac{1}{3}\)
• B. \(\dfrac{1}{4}\)
• C. \(\dfrac{1}{2}\)
• D. \(\dfrac{1}{5}\)

Hint:

For probability involving “or”: \[ \boxed{n(A\cup B)=n(A)+n(B)-n(A\cap B)} \] Remember to subtract the common multiples once to avoid double counting.

Answer 1

The Correct Option is C