Question

A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is: (i) White (ii) Red (iii) Not black (iv) Red or White Select the correct answer from above options

Answer 1

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