At a factory that produces pistons for cars, Machine 1 produced 392 satisfactory pistons and 98 unsatisfactory pistons today. Machine 2 produced 360 satisfactory pistons and 240 unsatisfactory pistons today. Suppose that one piston from Machine 1 and one piston from Machine 2 are chosen at random from today's batch. What is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory ?

Question

07-11-2019
Mathematics

contestada

At a factory that produces pistons for cars, Machine 1 produced 392 satisfactory pistons and 98 unsatisfactory pistons today. Machine 2 produced 360 satisfactory pistons and 240 unsatisfactory pistons today. Suppose that one piston from Machine 1 and one piston from Machine 2 are chosen at random from today's batch. What is the probability that the piston chosen from Machine 1 is satisfactory and the piston chosen from Machine 2 is unsatisfactory ?

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nuuk nuuk · Answer 1 · 2019-11-07T08:51:40+01:00

Answer:0.48

Step-by-step explanation:

Given

Machine 1 Produced 392 satisfactory pistons and 98 unsatisfactory Piston

Machine 2 Produced 360 satisfactory pistons and 240 unsatisfactory Piston

Two balls are selected from batch

Probability of getting Satisfactory Piston From machine 1 is [tex]\frac{392}{490}[/tex]

Probability of getting Unsatisfactory Piston From machine 2 is [tex]\frac{360}{600}[/tex]

Probability that the piston chosen from machine 1 is satisfactory and from machine 2 is unsatisfactory[tex]=\frac{392}{490}\times \frac{360}{600}[/tex]

[tex]=0.8\times 0.6=0.480[/tex]