MHT CET · Maths · Probability
It is observed that \(30 \%\) of the students appearing for a certain entrance test are science students. If 5 students are randomly selected from this group,the probability of having 2 science students among these students is
- A \(0.3087\)
- B \(0.2547\)
- C \(0.1087\)
- D \(0.3437\)
Answer & Solution
Correct Answer
(A) \(0.3087\)
Step-by-step Solution
Detailed explanation
The required probability \(={ }^5 C_2\left(\frac{30}{100}\right)^2 \times\left(\frac{70}{100}\right)^3\)
\(\begin{aligned} & =10 \times \frac{3}{10} \times \frac{3}{10} \times \frac{7}{10} \times \frac{7}{10} \times \frac{7}{10} \\ & =\frac{3087}{10000}=0.3087\end{aligned}\)
\(\begin{aligned} & =10 \times \frac{3}{10} \times \frac{3}{10} \times \frac{7}{10} \times \frac{7}{10} \times \frac{7}{10} \\ & =\frac{3087}{10000}=0.3087\end{aligned}\)
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