Probability
Conditional Probability
Premium Question
Grade 12
Question:
A bag contains 6 red and 4 green balls. Two balls are drawn at random without replacement. If the probability that both balls are red is $\frac{p}{q}$ in lowest terms, then $q - p$ equals _____.
Step-by-Step Solution
Key Concept: Compute $\frac{\binom{6}{2}}{\binom{10}{2}}$, reduce the resulting fraction to lowest terms to identify $p$ and $q$, and then subtract.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: 2