Question

A bag contains 5 white, 6 red and 4 green balls. One ball is drawn at random. What is the probability that the ball drawn is (i) green? (ii) White? (iii) Non-red?

Answer 1

(i) We know that the bag containing the total balls = 5white+6red+4green = 15ballsGreen balls = 4

By using the formula,

Probability p () = number of favorable outcomes/ total number of outcomes

∴ Probability of getting a green ball p (G) = number of green balls/total number of balls =4/15

(ii) We know that the bag containing the total balls = 5white +6red+4green = 15ballsWhite balls = 5

By using the formula,

Probability p () = number of favorable outcomes/ total number of outcomes

∴ Probability of getting a white ball p (W) = number of white balls/total number of balls =5/15=1/3

(iii) We know that the bag containing the total balls = 4white +6red+4green = 15ballsNumber of outcomes (excluding red) = 5white+4green=9balls

By using the formula,

Probability p () = number of favorable outcomes/ total number of outcomes

∴ Probability of getting a green ball p (G) = number of white balls/total number of balls =9/15=3/5