NIMCET 2024 — Mathematics PYQ

Given:

Total number of patients ($n$) = $3$

Probability of recovery ($p$) = $0.6$

Probability of not recovering ($q=1-p$) = $1-0.6=0.4$

Number of successful recoveries required ($k$) = $2$

Using the formula:

$P(X=2)=\left(\genfrac{}{}{0ex}{}{3}{2}\right)(0.6{)}^2(0.4{)}^{3-2}$

$P(X=2)=3\times (0.36)\times (0.4)$

$P(X=2)=3\times 0.144$

$P(X=2)=0.432$

Correct Option: (B)