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A person must enter a 4 digit code to gain access to his cell phone. He will enter codes until he is successful, however he cannot try more than 3 times or the phone will lock him out. Let S denote a successful attempt and F denote a failed attempt. What is the sample space for this random experiment

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Answer:

(S, FS, FFS, FFF)

Step-by-step explanation:

According to the Question,

  • Given, A person must enter a 4 digit code to gain access to his cell phone. He will enter codes until he is successful.
  • however, he cannot try more than 3 times or the phone will lock him out.
  • Let, S denote a successful attempt and F denote a failed attempt.

So, the sample space for this random experiment is

{S, FS, FFS, FFF}

The person stops trying when he successfully enters the code or when he has failed at all 3 attempts .

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