Tokens numbered 1 to 25: Draw one token uniformly at random. What is the probability the number is divisible by both 2 and 3?

Introduction / Context:
Divisibility by both 2 and 3 means divisibility by 6. Count multiples of 6 up to 25 and divide by total tokens.

Given Data / Assumptions:
Numbers: 1,…,25; uniform random draw.

Concept / Approach:
Use floor division to count: ⌊25/6⌋ = 4.

Step-by-Step Solution:

Why Other Options Are Wrong:
7/25 or 9/25 overcount; 2/25 undercounts.

Common Pitfalls:
Forgetting that 0 is not in the set; miscounting multiples.

Final Answer:
4/25