Q. 74.8( 12 Votes )

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 :


Concept Used:



Explanation:


(i) Total number of balls in the bag = 8
No of red balls = 3
Let E be the event of getting a red ball, then
No of favourable outcomes = No of red balls = 3
No of possible outcomes = No of total balls = 8


The probability of the ball drawn to be red:



Hence, the probability of a red ball is 3/8.


(ii) We know that:



where E and are complementary events, as getting a red ball and not getting a red ball are complementary events


Hence,


The probability of not getting the red ball


= 1 - Probability of getting a red ball


= 1 – 3/8


= 5/8


Hence, the probability of not red is 5/8.


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