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 students none will join CA course is.......

• A. $0.01$
• B. $0.065$
• C. $0.43$
• D. $40.08$

Answer 1

The correct option is D $40.08$

Total no. students $=10$

$\Rightarrow$ Probability of students will qualify $=\frac{4}{10}$

$\Rightarrow$ Probability of students who will not qualify $=\frac{6}{10}$

i.e, $p=\frac{4}{10}$ $q=\frac{6}{10}$ $r=5$

Probability that out of $5$ students none will join CA

By Bemoulli's equation,

$\Rightarrow {}^n{C}_r{p}^r{q}^{n-r}={}^5{C}_0{\left(\frac{4}{10}\right)}^0{\left(\frac{6}{10}\right)}^5=0.077\sim 0.08$

Hence, the answer is $\mathrm{0.08.}$