Question

A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. The probability that number on ticket is a prime number is

• A. $\frac{8}{25}$
• B. $\frac{4}{25}$
• C. $\frac{3}{25}$
• D. $\frac{7}{25}$

Answer 1

Answer: (D)

7/25

Answer 2

To find the probability, we need to determine the number of prime numbers between 1 and 75. Then, we divide that number by the total number of tickets, which is 75.

The prime numbers between 1 and 75 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73. There are 21 prime numbers.

The probability is therefore $\frac{21}{75}$, which simplifies to $\frac{7}{25}$.