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 black.

Given:

A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. 

To do:

We have to find the probability that the ball drawn is black.

Solution:

Number of red balls $=3$

Number of black balls $=5$

Total number of balls $=3+5=8$

This implies,

The total number of possible outcomes $n=8$.

Total number of favourable outcomes(drawing a black ball) $=5$.

We know that,

Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$

Therefore,

Probability that the ball drawn is black $=\frac{5}{8}$

The probability that the ball drawn is black is $\frac{5}{8}$.     

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Updated on: 10-Oct-2022

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