A bag contains 5 green, 7 red and 4 white balls. If three balls are drawn one after the other with replacement, then the probability of getting balls of same colour is:
Total number of balls in a bag = 5+7+4 = 16
As the balls are drawn with replacement, so probability of drawing same colour ball each time will be same.
P(Drawing 3 Green balls) = (5/16)*(5/16)*(5/16) = 125/4096
P(Drawing 3 Red balls) = (7/16)*(7/16)*(7/16) = 343/4096
P(Drawing 3 White balls) = (4/16)*(4/16)*(4/16) = 64/4096
.'. Probability of getting balls of same colour = P(3 Green) + P(3 Red) + P(3 White) = 125/4096 + 343/4096 + 64/4096 = 532/4096 = 133/1024
Correct Option 9)