Question

There is a probability that 4 out of 10 students appearing in CA CPT exams will qualify for CA course after passing CA CPT exam. The probability that of 5 atudents all will qualify CA CPT exam.

Answer 1

Probability that the students will qualify, $p=\frac{4}{10}$

Probability that they can't qualify, $q=\frac{6}{10}$

$\Rightarrow n=5$

By Bernoulli's equation,

$\Rightarrow p={}^{n}C-r{p}^{r}qn-r$

p ( at least one will get selected )

$={}^5{C}_5{\left(\frac{4}{10}\right)}^5{\left(\frac{6}{10}\right)}^0$

$=\mathrm{0.0024.}$

Hence, the answer is $\mathrm{0.0024.}$