The ratio of red balls, to yellow balls, to green balls, to blue balls in a basket is 2 : 3 : 4 : 5. What is the probability that a ball chosen at random from the basket is a red ball?

Question: The ratio of red balls, to yellow balls, to green balls, to blue balls in a basket is 2 : 3 : 4 : 5. What is the probability that a ball chosen at random from the basket is a red ball?

Solution:
The ratio of red balls, to yellow balls, to green balls in a basket is = 2 : 3 : 4 : 5
let, there are 2x red balls, 3x yellow balls, 4x green balls and 5x blue balls.

∴ Total balls = 2x + 3x + 4x + 5x
= 14x

∴ probability that a ball chosen at random from the basket is a red ball = 2x/14x
= 1/7