BECE Mathematics 2024 Paper

Concept:Probability of an event is the ratio of favourable outcomes to the total number of equally likely outcomes.Explanation:Number of white balls $= 15$Number of black balls $= 25$Total balls $= 15 + 25 = 40$Since the balls are identical, selecting any ball is equally likely.So, $P(\text{white}) = \frac{\text{Number of white balls}}{\text{Total number of balls}} = \frac{15}{40}$Simplify the fraction by dividing numerator and denominator by $5$:$\frac{15}{40} = \frac{15 \div 5}{40 \div 5} = \frac{3}{8}$Answer:The probability that the selected ball is white is $\frac{3}{8}$, which is Option C.