Question
Download Solution PDFA number is selected at random from first thirty natural numbers. What is the probability that it's a multiple of either 3 or 13?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
First 30 natural numbers
Formula used:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Calculation:
Multiples of 3 within 30: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
Count = 10
Multiples of 13 within 30: 13, 26
Count = 2
Common multiples of 3 and 13 within 30: None
Number of favorable outcomes = 10 + 2 = 12
Total number of outcomes = 30
Probability = 12 / 30
⇒ Probability = 2 / 5
∴ The probability that a randomly selected number from the first 30 natural numbers is a multiple of either 3 or 13 is 2/5.
Last updated on Jun 12, 2025
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