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A bag holds 3 red balls, 5 blue balls and 2 yellow balls. What is the chance of drawing a yellow ball?
AIt is 1 in 5
BIt is 1 in 2
CIt is 2 in 8
DIt is 1 in 10
Answer & Solution
Correct answer: A. It is 1 in 5
1. Every ball is equally likely to be drawn, so outcomes can simply be counted.
2. Count the sample space first: 3 plus 5 plus 2 gives 10 balls in total.
3. Count the event set next: there are 2 yellow balls.
4. The probability is 2 out of 10, which simplifies to 1 out of 5.
5. Answering 1 in 10 counts only one yellow ball instead of both of them.
_Source: Siyavula Mathematics Grade 11 (Everything Maths, CC BY 4.0), Chapter 10: Probability_
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