Question

*There are 5 red and 3 black balls in a bag. Probability of drawing a black ball is ………..*

1️⃣ 5/8
2️⃣ 1/2
3️⃣ 3/8
4️⃣ none​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

There are 5 red and 3 black balls in a bag. Probability of drawing a black ball is

$\displaystyle \sf{1. \: \: \: \frac{5}{8} }$

$\displaystyle \sf{2. \: \: \: \frac{1}{2} }$

$\displaystyle \sf{3. \: \: \: \frac{3}{8} }$

4. None

EVALUATION

Here it is given that there are 5 red and 3 black balls in a bag

So total number of balls = 5 + 3 = 8

So total number of possible outcomes = 8

Let A be the event that the ball drawn is black

There are 3 black balls

So total number of possible outcomes for the event A is 3

So the required probability

= P(A)

$\displaystyle \sf{ = \frac{3}{8} }$

FINAL ANSWER

Hence the correct option is

$\displaystyle \sf{3. \: \: \: \frac{3}{8} }$

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Answer 2

Given:

There are 5 red and 3 black balls in a bag.

To find:

Probability of drawing a black ball is_______?

Solution:

It is given that there are 5 red and 3 black balls in a bag.

so, first, find the total number of balls.

The total number of balls:

5 red and 3 black balls = 5 + 3 = 8

So, the total number of balls in a bag is 8.

There are 3 black balls in a bag. so, the favorable outcome is 3

Now, find the probability of drawing a black ball:

P(E) = Favourable outcomes/Total number of outcomes

P(E) = 3/8

Hence, the required answer is 3/8