**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