Q. 84.2( 114 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 :

(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 favorable outcomes = No of red balls = 3

No of possible outcomes = No of total balls = 8

Probability of the ball drawn to be red. :

=

=

(ii) We know that:

P (E) = 1 - P ()

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

Probability of not getting red ball

= 1 - Probability of getting a red ball

= 1 -

=

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