MathDB

In a tennis ball factory there are

4

machines

m_1 , m_2 , m_3 , m_4

, which produce, respectively,

10\%

20\%

30\%

and

40\%

of the balls that come out of the factory. The machine

m_1

introduces defects in

1\%

of the balls it manufactures, the machine

m_2

2\%

m_3

4\%

and

m_4

15\%

. Of the balls manufactured In one day, one is chosen at random and it turns out to be defective. What is the probability that Has this ball been made by the machine

m_3

Problem Statement