In order to calculate the probability of exactly 1 failure in 100, we can use the formula below:
[tex]P=C(n,k)\cdot p^k\cdot(1-p)^{n-k}[/tex]Where C(n, k) is a combination of n choose k and p is the probability of the event happening.
So, for n = 100, k = 1 and p = 0.015, we have:
[tex]\begin{gathered} P=C(100,1)\cdot0.015^1\cdot0.985^{99} \\ P=100\cdot0.015\cdot0.224 \\ P=0.336 \end{gathered}[/tex]Therefore the correct option is B.
