A bag contains 3 red balls, 5 black balls and 4 white balls.

Question:

A bag contains 3 red balls, 5 black balls and 4 white balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is :

(a) white?

(b) red?

(c) black?

(d) not red?

Solution:

GIVEN: A bag contains 3 red, 5 black and 4 white balls

TO FIND: Probability of getting a

(i) White ball

(ii) Red ball

(iii) Black ball

(iv) Not red ball

Total number of balls 

(i) Total number white balls is 4

We know that PROBABILITY = 

Hence probability of getting white ball = 

(ii) Total number red balls are 3

We know that PROBABILITY = 

Hence probability of getting red ball is

(iii) Total number of black balls is 5

We know that PROBABILITY = 

Hence probability of getting black ball 

(iv) Total number of non red balls are 4 white balls and 5 black balls i.e. 

We know that PROBABILITY = 

Hence probability of getting non red ball 

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