Each time a component is tested the trial is a success S or

Each time a component is tested, the trial is a success (S) or failure (F). Suppose the component is tested repeatedly until a success occurs on three consecutive trials. Let Y denote the number of trials necessary to achieve this. List all outcomes corresponding to the five smallest possible values of Y, and state which Y value is associated with each one.

Solution

Solution :

                 Let S = success, F = failiure .

                 Y
                 3 --- SSS
                 4 --- FSSS
                 5 --- FFSSS, SFSSS
                 6 --- FFFSSS, SFFSSS, FSFSSS, SSFSSS                                                                              7---- FFFFSSS, SFFFSSS, FSFFSSS, FFSFSSS, SSFFSSS, SFSFSSS, FSSFSSS