(Q7) A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is (i) red ? (ii) not red?

Answer :

(i) Total number of balls in the bag = balls.

Number of total outcomes when a ball is drawn at random =

Now, number of favourable outcomes of red ball = .

∴ Probability of getting a red ball =
No. of favourable outcomes
Total no. of outcomes
=

(ii) If P( E) is the probability of drawing no red ball, then P(E) + P(Ē) = 1

P(Ē) = 1 - P(E)= 1 -
=