Question 991131: A certain model of remote control Stanley garage door opener has nine binary(off/on) switches. The homeowner can set any code sequence. (A) How many seperate codes can be programmed? (B) If you try to use your door opener on 1,000 other garages, how many times would you expect to succeed?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A certain model of remote control Stanley garage door opener has nine binary(off/on) switches. The homeowner can set any code sequence.
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(A) How many separate codes can be programmed?
Ans: 2^9 = 512
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(B) If you try to use your door opener on 1,000 other garages, how many times would you expect to succeed?
P(correct code) = 1/512
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Expected success = (1/512)1000 = 1.95
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Cheers,
Stan H.
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