19 A bag contains a number of identical balls, half of which are red, one-third are black, and the remainder are white. If a ball is drawn randomly, the probability that the drawn ball is white is $$ \ldots \ldots . $$

Question

UpStudy AI · Accepted Answer

Let the total number of balls be $$ T $$.

1. The number of red balls is given by:
   $$
   \frac{1}{2}T
   $$

2. The number of black balls is given by:
   $$
   \frac{1}{3}T
   $$

3. The total number of red and black balls together is:
   $$
   \frac{1}{2}T + \frac{1}{3}T = \frac{3T + 2T}{6} = \frac{5T}{6}
   $$

4. The remaining balls, which are white, are:
   $$
   T - \frac{5T}{6} = \frac{T}{6}
   $$

5. Therefore, the probability of drawing a white ball is:
   $$
   \frac{\frac{T}{6}}{T} = \frac{1}{6}
   $$

Thus, the probability that a drawn ball is white is $$ \frac{1}{6} $$.
The probability of drawing a white ball is $$ \frac{1}{6} $$.

19 A bag contains a number of identical balls, half of which are red, one-third are black, and the remainder are white. If a ball is drawn randomly, the probability that the drawn ball is white is

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Probability Questions