Question

A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must function. Two of the parts have a 0.79 probability of functioning, and two have a probability of 0.83. What is the overall probability that the product will function properly?

Answer 1

0.430

Explanation:

Product has four parts :

For proper functioning, each part must function :

Let the 4 parts be:

A, B, C and D

Proper functioning probability :

A and B = 0.79

C and D = 0.83

For proper functioning :

P(A) * P(B) * P(C) * P(D)

0.79 * 0.79 * 0.83 * 0.83

= 0.42994249

= 0.430