Probability ncert solutions Chapter 15 Exercise 15.1 Question 8
8. 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?
Solution:
(i)
Let E be the event of drawing a red ball from the bag.
The number of possible outcomes favorable to E=3 because there are 3 red balls.
Number of all possible outcomes of experiment =3+5=8
Therefore, P(E)= Number of outcomes favorable to E/Number of all possible outcomes of experiment
It means that Probability of drawing a red ball
(ii)
Continuing from part (i)
We know that
{where
is probability of not happening of event E. In other words it is the probability of not drawing a red ball}
Therefore, Probability of not drawing a Red ball
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