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

Question

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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Mít Mít 4 years 2021-08-27T06:47:56+00:00 1 Answers 13 views 0

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  1. Calantha
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    2021-08-27T06:49:01+00:00
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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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