Given: A bag contains 4 red, 5 black and 6 white balls and a ball is drawn at random
Required to Find: Probability of getting a
(i) white ball
(ii) red ball
(iii) not black ball
(iv) red or white
Total number of balls 4 + 5 + 6 = 15
(i) Total number of white balls in the bag is 6
We know that, Probability = Number of favourable outcomes/ Total number of outcomes
Thus, the probability of drawing white a ball = 6/15 = 2/5
(ii) Total number of red balls in the bag is 4
We know that, Probability = Number of favourable outcomes/ Total number of outcomes
Thus, the probability of drawing red a ball = 4/15
(iii) Total number of black balls are 5
We know that, Probability = Number of favourable outcomes/ Total number of outcomes
Thus, the probability of drawing black ball P(E) = 5/15 = 1/3
We know that sum of probability of occurrence of an event and probability of non-occurrence of an event is 1.
Thus, the probability of drawing a ball that is not black is 2/3
(iv) Total number of red or white balls 4 + 6 = 10
We know that Probability = Number of favourable outcomes/ Total number of outcomes
Thus, the probability of drawing a white or red ball = 10/15 = 2/3
