Question

A bag has a total of 108 toys. These toys are of 3 different colours: black, green and white. If a toy is taken out randomly, the probabilities of getting a black and a green are \( \frac{1}{3} \) and \( \frac{4}{9} \) respectively. What is the number of white toys?

• A. 36
• B. 24
• C. 51
• D. None of these

Hint:

To solve problems involving probabilities and total items, always ensure that the sum of all the parts equals the total.

Answer 1

The Correct Option is B

Let the total number of toys be \( 108 \). The number of black toys be \( \frac{1}{3} \times 108 = 36 \), and the number of green toys be \( \frac{4}{9} \times 108 = 48 \). Therefore, the number of white toys is the remaining toys: \[ \text{White toys} = 108 - 36 - 48 = 24. \] Thus, the number of white toys is \( \boxed{24} \).