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Q.

A bag contains 3 red and 5 black balls. A ball is drawn at random from the bag. What is the probability that the drawn ball is not red?

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a

18

b

58

c

78

d

58

answer is D.

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Detailed Solution

It is given that the total number of balls present in the bag is equal to 8 that is, 3 red balls and 5 black balls.
Total balls = 8
No. of red balls =3
Probability of not getting a red ball is basically the probability of getting a black ball in this case.
Let

P E

is the probability of the event

P (E) = No . of favorable outcomes Total no of outcomes

Probability of getting a red ball is

P (getting a red ball) = 38

The probability of not getting a red ball is
Let us consider

P (E) = P getting a red ball

P (E) = 1 − 38 P (E) = 58

Therefore, probability of not getting a red ball is given by

58

.
Hence, the correct option is 4.

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