Question

A factory that produces pistons for cars machine one produce 531 satisfactory pistons and 59 unsatisfactory pistons, machine two produces 450 satisfactory pistons and 50 unsatisfactory pistons. Suppose that one piston from machine one and one piston from machine two are chosen at random. What is the probability that a person chosen from machine one is satisfactory, and the piston chosen from machine two is unsatisfactory?

a) 0.127
b) 0.21
c) 0.177
d) 0.092

Answer 1

To find the probability that a person chosen from machine one is satisfactory and the piston chosen from machine two is unsatisfactory, we need to calculate the probability of each event happening individually and then multiply them together.

Step-by-step explanation:

To find the probability that a person chosen from machine one is satisfactory and the piston chosen from machine two is unsatisfactory, we need to calculate the probability of each event happening individually and then multiply them together.

1. Probability of choosing a satisfactory piston from machine one: 531 satisfactory pistons out of a total of 531+59=590 pistons. So, the probability is 531/590.
2. Probability of choosing an unsatisfactory piston from machine two: 50 unsatisfactory pistons out of a total of 450+50=500 pistons. So, the probability is 50/500.

To find the combined probability, we need to multiply the two individual probabilities: (531/590) x (50/500) = 0.09.

Therefore, the probability is 0.09, which is approximately equal to 0.092.