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Question

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 drawn ball is

(1) red

(2) not red


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Solution

Step 1: Find the probability that the drawn ball is red.

Given : Number of red balls =3

Number of black balls =5

Total number of balls =3+5=8

We know that Probability =NumberoffavorableoutcomesTotalnumberofoutcomes

So, Probability of getting a red ball =no.ofredballstotalnumberofballs

=38

Step 2 : Find the probability that the drawn ball is not red.

Now, number of balls which are not red =Number of black balls

=5

So, Probability of getting non red ball =no.ofblackballstotalnumberofballs

=58

Hence, the probability that the drawn ball is red is 38and the probability that the drawn ball is not red is 58


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