A box contains white balls, red balls and black balls.
Another box contains white balls, red balls and black balls.
A third box contains white balls, red balls and black balls.
If ball is drawn from each of the boxes , and ,the probability that all drawn balls are of the same color, is
The explanation for the correct option:
Step 1: Express the given data:
In Box :
Number of a white ball
Number of red balls
Number of black balls
Therefore, total balls in bag
In Box :
Number of a white ball
Number of red balls
Number of black balls
Therefore, total balls in bag
In Box :
Number of a white ball
Number of red balls
Number of black balls
Therefore, total balls in bag
Step 2: Finding the probability:
The probability that it is white in all the boxes, P (All are white)
The probability that it is red in all the boxes, P(All are red)
The probability that it is black in all the boxes, P(All are black)
Thus the probability that all the three balls are drawn are of the same color is
Hence, option (A) is the correct answer.