In: Statistics and Probability
A bag contains 8 red balls and some white balls. If the probability of drawing a white ball is half of the probability of drawing a red ball then find the number of white balls in the bag.
Let the number of white balls be n.
The number of red balls = 8.
Therefore, the possible number of outcomes = n + 8.
Now, the probability of drawing a white ball = n/n+8.
The probability of drawing a red ball = 8/n+8.
Now, from question,
n/n+8 = 12 ∙ n/n+8
or, n = 4.
So, number of white balls in the bag is 4.
number of white balls in the bag is 4.