# Answer to Question #15406 in Statistics and Probability for sanio123

Question #15406

The batteries to the remote control for your television have just run out. You find your collection of

miscellaneous “AA” batteries and grab 2 of them to replace the used ones. The box you used to fish out the replacements contained 14 batteries, but you were unaware that 3 of them were faulty and did not work.

a) If the remote control requires two good batteries to operate properly, what is the probability

that the remote control now works properly?

b) Given that the remote control is now working, what is the probability that the next two

batteries you select from your remaining stash will also work?

miscellaneous “AA” batteries and grab 2 of them to replace the used ones. The box you used to fish out the replacements contained 14 batteries, but you were unaware that 3 of them were faulty and did not work.

a) If the remote control requires two good batteries to operate properly, what is the probability

that the remote control now works properly?

b) Given that the remote control is now working, what is the probability that the next two

batteries you select from your remaining stash will also work?

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