A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn is: (i) a black ball. (ii) a red ball
A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn is: (i) a black ball. (ii) a red ball

Solution:

Total number of balls = 3 + 5 + 2 = 10

So, the total number of possible outcomes = 10

(i) There are 5 black balls

So, the number of favourable outcomes = 5

Thus, P(getting a black ball) =  5/10 = 1/2

(ii) There are 2 red balls

So, the number of favourable outcomes = 2

Thus, P(getting a red ball) =  2/10 = 1/5