Question

An article manufactured by a company consists of two parts- a and

b. In the process of manufacture of part a, 9 or of 100 are likely to be defective. Similarly 5 out of 100 are likely to be defective in the manufacture of part

b. The probability that the assembled part will not be defective, is

Answer 1

Answer:

1729/2000

Step-by-step explanation:

An article manufactured by a company consists of two parts- a and  b.

In the process of manufacture of part a, 9 or of 100 are likely to be defective. Similarly 5 out of 100 are likely to be defective in the manufacture of part  b. The probability that the assembled part will not be defective, is

Probability of a being defective = 9/100

probability of a being non -defective = 1 - 9/100 = 91/100

Probability of b being defective = 5/100 = 1/20

probability of b being non -defective = 1 - 1/20 = 19/20

for Assembled part not to be defective , it is necessary that a & b both parts are non-defective

Probability of Assembled part not to be defective = (91/100) * (19/20)

= 1729/2000