Tickets numbered 1 to 20 are mixed and a ticket is drawn at random. What is the probability that the ticket drawn has a number wh…

Question

Tickets numbered 1 to 20 are mixed and a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?

1. A. 1/2
2. B. 5/3
3. C. 5/8
4. D. 9/20 (Correct answer)

Correct Answer

Option D — 9/20

Detailed Solution & Explanation

The correct answer is 9/20.

Key Points

• Multiples of 3 up to 20: 6 numbers.
• Multiples of 5: 4 numbers. LCM(3,5)=15: 1 number.
• Total = 6+4−1=9. P = 9/20.