Probability
Counting and Probability
Grade 12
Question:
<p>A natural number is chosen at random from the first one hundred natural numbers. The probability that \(\frac{(x-20)(x-40)}{x-30} < 0\) is</p>
<p>(a) \(\frac{1}{50}\)</p>
<p>(b) \(\frac{3}{50}\)</p>
<p>(c) \(\frac{3}{25}\)</p>
<p>(d) \(\frac{7}{25}\)</p>
Step-by-Step Solution
Key Concept: Find the range of x where the rational expression is negative using sign analysis, then count favorable outcomes.
<p>Not provided in source text</p>
Correct Answer: b