Question

A basket contains balls that are either red or white. If the total number of balls in the basket is $24$, and the probability of choosing a red ball at random is $\frac{5}{6}$, calculate the number of red balls are in the basket.

• A. $20$
• B. $10$
• C. $30$
• D. $45$

Answer 1

The correct option is A $20$

Given total number of balls in the basket is $24$.
Probability of choosing red ball at random is $\frac{5}{6}$
Let the number of red balls be x
We know formula for probability is
$P=\frac{FavourableOutcomes}{Totalpossibleoutcomes}$
$\Rightarrow \frac{5}{6}=\frac{x}{24}$
$\Rightarrow 6x=120$
$\Rightarrow x=20$
So, number of red balls are $20$.