Question

Tell me correct answer step by step explain ​

Answer 1

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A bag contains 3

red balls and 5

black balls. A ball drawn at random from the bag What is the probability that the ball drawn is (i) red? (ii) not red?

Answer

Complete step-by-step answer:

We have been given that a bag contains 3 red balls and 5 black balls. It is given that a ball drawn at random from the bag, we need to find the probability that the ball drawn is (i) red (ii) not red.

So, total number of outcomes of balls = 8

The number of favourable outcomes of getting red balls = 3

And the number of favourable outcomes of getting black balls = 5

We know that, Probability =favourable outcomestotal outcomes

On applying the values in the above formula, we get

(i) Probability of getting a red ball =38

(ii) Probability of not getting a red ball =

Probability of getting a black ball

Probability of not getting a red ball =58

Thus, probability of getting a red ball is 38 and probability of not getting a red ball is 58.

Note: To solve the second part of the question, there is an alternate method of finding the probability of not getting a red ball.

Probability of not getting a red ball = 1 −

probability of getting a red ball.

Probability of not getting a red ball =1−38 =58

___________________________

Here, in the formula, we have subtracted from 1,

because 1 indicates certainty of the event.

Answer 2

(i) 3/8

(ii) 5/8

Step-by-step explanation:

Total outcome =3+5= 8

(i) Fvourable Outcome = 3

$Probability = \frac{Favourable \ Outcome}{Total \ outcome} \\ = \frac{3}{8}$

(ii) Favourable Outcome =5

$Probability = \frac{Favourable \ Outcome}{Total \ outcome} \\ = \frac{5}{8}$

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