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 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?
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To solve problems involving probabilities and total items, always ensure that the sum of all the parts equals the total.
Updated On: Dec 8, 2025
- 36
- 24
- 51
- None of these
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The Correct Option is B
Solution and Explanation
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 \( \boxed{24} \).
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