A factory has two machines

MATHEMATICS · Subjective · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions

Problem

A factory has two machines. Machine

M_1

produces

60\%

of the total output and

2\%

of its items are defective. Machine

M_2

produces the remaining output and

5\%

of its items are defective. Calculate the probability that an item chosen at random from the day’s production is defective.