SOLUTION: After assembling an order for 12 computer systems, the assembler noticed that an electronic component that was to have been installed was leftover. The assembler then checked the 1

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Question 1181524: After assembling an order for 12 computer systems, the assembler noticed that an electronic component that was to have been installed was leftover. The assembler then checked the 12 systems in order to find the system missing the component. Assume that he checks them in random order.
(a) What is the probability that the first system the assembler checks is the system that is missing the component?

Answer by Solver92311(821)   (Show Source): You can put this solution on YOUR website!


Assuming that the assembler began with exactly 12 components, such that the leftover component means that exactly one of the assembled systems is missing the component, then out of 12 systems, there is exactly 1 way that the assembler could find the correct system on the first try. The probability of anything is the number of successful outcomes possible divided by the total number of outcomes.

John

My calculator said it, I believe it, that settles it

From
I > Ø

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