Question:
An integer is chosen from the first 100 positive integers. Probability that the chosen number is a multiple of 11 is:
An integer is chosen from the first 100 positive integers. Probability that the chosen number is a multiple of 11 is:
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Divide 100 by 11 to get 9.09; the integer part tells you how many multiples there are.
Updated On: Apr 28, 2026
- $\frac{1}{10}$
- $\frac{1}{11}$
- $\frac{9}{100}$
- $\frac{13}{100}$
- $\frac{11}{100}$
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The Correct Option is C
Solution and Explanation
Step 1: Concept
Total outcomes $n(S) = 100$.
Step 2: Analysis
Multiples of 11 are $\{11, 22, 33, 44, 55, 66, 77, 88, 99\}$. Total favorable outcomes $n(E) = 9$.
Step 3: Calculation
Probability $= \frac{9}{100}$. Final Answer: (C)
Total outcomes $n(S) = 100$.
Step 2: Analysis
Multiples of 11 are $\{11, 22, 33, 44, 55, 66, 77, 88, 99\}$. Total favorable outcomes $n(E) = 9$.
Step 3: Calculation
Probability $= \frac{9}{100}$. Final Answer: (C)
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