Question

a bag contains 40 slips of paper numbered 1-40. if one is randomly chosen, what is the probability of not choosing a multiple of 3?
13/40
27/40
1/40
1/2
3/40

Explanation:

Step1: Count multiples of 3

Numbers 1-40: multiples of 3 are 3,6,...,39. Number = $\lfloor 40/3
floor = 13$.

Step2: Calculate non-multiples count

Total slips - multiples = $40 - 13 = 27$.

Step3: Find probability

Probability = non-multiples / total = $\frac{27}{40}$.

Answer:

B. 27/40