A box contains two red balls and four blue balls. A ball is drawn at random from the box and then replaced before a second ball is drawn. Find the probabili...
A box contains two red balls and four blue balls. A ball is drawn at random from the box and then replaced before a second ball is drawn. Find the probability of drawing two red balls.
Answer Details
The probability of drawing a red ball on the first draw is 2/6 (since there are two red balls out of a total of six balls), and the probability of drawing a red ball on the second draw is also 2/6 (since the first ball is replaced before the second draw, and the number of balls remains the same).
To find the probability of drawing two red balls, we need to multiply the probability of the first draw by the probability of the second draw, since the two events are independent of each other.
So the probability of drawing two red balls is:
2/6 * 2/6 = 4/36 = 1/9
Therefore, the answer is 1/9.