A factory has three machines

MATHEMATICS · Single correct · CBSE · Mathematics · Probability · Probability

Problem

M_1

M_2

and

M_3

producing

30\%

45\%

and

25\%

of the total output respectively. The percentages of defective items produced by these machines are

2\%

3\%

and

1.5\%

respectively. If one item is selected at random from the day’s production, what is the probability that it is defective? (a)

0.0245

(b)

0.0195

(c)

0.0233

(d)

0.0217