AP EAMCET · Maths · Probability
If a number is chosen at random from the set \(\{1,2,3, \ldots \ldots, 100\}\), then the probability that the chosen number is a perfect cube is
- A \(1 / 25\)
- B \(1 / 2\)
- C \(1 / 10\)
- D 9/13
Answer & Solution
Correct Answer
(A) \(1 / 25\)
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & n(S)=100 \\ & E=\{1,8 ; 27,64\} \\ & n(E)=4\end{aligned}\) \(\therefore\) Required probability \(=p(E)=\frac{n(E)}{n(S)}=\frac{4}{100}=\frac{1}{25}\)
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