Forty tickets are numbered from 1 to 40, one number on each ticket. The tickets are mixed and one ticket is drawn at random. What is the probability that the number on the ticket is a prime number?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \(\frac{3}{10}\)
A prime number has exactly two factors, 1 and itself; 1 is not prime, and 2 is the only even prime. Each of the 40 tickets is equally likely to be drawn.
Primes from 1 to 40: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37
Favourable tickets \(=12\)
Probability \(\displaystyle =\frac{12}{40}=\frac{3}{10}\)