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? {SSS, SSF, SFS, FSS, SFF, FSF, FFS, FFF} {S, FS, FFS} {S, FS, FFS, FFF} {S, SS, SSS} {S, SF, SSF, SSS}
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? {SSS, SSF, SFS, FSS, SFF, FSF, FFS, FFF} {S, FS, FFS} {S, FS, FFS, FFF} {S, SS, SSS} {S, SF, SSF, SSS}
Solution 1
The sample space for this random experiment would be {S, FS, FFS, FFF}. This is because the person can either get the code right on the first try (S), get it right on the second try after one failure (FS), get it right on the third try after two failures (FFS), or fail all three attempts (FFF). The other combinations are not possible because the person cannot make more than three attempts.
Solution 2
The sample space for this random experiment would be {S, FS, FFS, FFF}. This is because the person can either get the code correct on the first try (S), the second try (FS), the third try (FFS), or not at all (FFF). The other combinations are not possible because once the person successfully enters the code, they would not continue entering codes.
Solution 3
The sample space for this random
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