AP EAMCET · Maths · Probability
When employees with smart phones are randomly selected, \(50 \%\) use them for office purpose. The probability that out of 10 users exactly 2 of them use for office purpose is
- A \({ }^{10} \mathrm{C}_2\)
- B \({ }^{10} \mathrm{C}_2 \frac{1}{2^2}\)
- C \({ }^{10} \mathrm{C}_2 \frac{1}{2^{13}}\)
- D \({ }^{10} \mathrm{C}_2 \frac{1}{2}\)
Answer & Solution
Correct Answer
(C) \({ }^{10} \mathrm{C}_2 \frac{1}{2^{13}}\)
Step-by-step Solution
Detailed explanation
Let success is to select a smart phone and it is for office purpose. \[ \therefore p=\frac{1}{2}, q=1-p=1-\frac{1}{2}=\frac{1}{2} \] Now, probability that out of 10 users exactly 2 of them use for office purpose \(=\) Probability of setting exactly 2 success out of 10 trial…
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