Question $3$

Not yet answered

Morked out of $0\mathrm{.}50$

Suppose there are three bolts producing machines M$1,$ M$2$ and M$3$ in different capacity like $30\%,20\%$ and $50\%$ respectively. The machines also produce defective bolts $5\%,3\%$ and $2\%$ respectively, of their productions. A bolt is taken out randomly and found defective. What is the probability that the bolt will be produced from machine $3$

$\frac{5}{31}$

$\frac{16}{31}$

$\frac{25}{31}$

$\frac{10}{31}$