A box contains black, white and red identical balls. The probability of picking a black ball at random from the box is \(\frac{3}{10}\) and the probability ...
Question 1 Report
A box contains black, white and red identical balls. The probability of picking a black ball at random from the box is \(\frac{3}{10}\) and the probability of picking a white ball at random is \(\frac{2}{5}\). If there are 30 balls in the box, how many of them are red?
Answer Details
The probability of picking a black ball at random from the box is \(\frac{3}{10}\) and the probability of picking a white ball at random is \(\frac{2}{5}\). Let's assume that there are x red balls in the box. Since there are a total of 30 balls, we can write:
number of black balls + number of white balls + number of red balls = total number of balls
\(\frac{3}{10}(30) + \frac{2}{5}(30) + x = 30\)
Simplifying the above equation gives:
9 + 12 + x = 30
x = 30 - 9 - 12
x = 9
Therefore, there are 9 red balls in the box.
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