Probability
Classical Probability
Premium Question
Grade 12
Question:
Two numbers are selected at random (without replacement) from the numbers $1, 2, 3, 4, 5, 6$. The probability that the minimum of the two numbers chosen is less than 4 is:
(1) $\frac{4}{5}$
(2) $\frac{3}{5}$
(3) $\frac{1}{5}$
(4) $\frac{2}{5}$
Step-by-Step Solution
Key Concept: It is easier to find the probability of the complementary event — that both chosen numbers come from $\{4, 5, 6\}$, making the minimum at least 4 — and subtract this from 1.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (1)