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

Answer 1

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 .