Question

A number is selected from first 50 natural numbers. What is the probability that it is a multiple of 3 or 5?

A. \(\frac{13}{25}\)

B. \(\frac{21}{50}\)

C. \(\frac{12}{25}\)

D.\(\frac{23}{50}\)

Answer 1

Total numbers of elementary event are: 50 

Let E be the event of getting a multiple of 3 or 5 

Favorable outcomes are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 5, 10, 20, 25, 35, 40, 50 

Numbers of favorable outcomes are: 23 

P (multiple of 3 or 5) = P (E) = \(\frac{23}{50}\)