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. (enter your answers in set notation.) y outcomes 3 4 5 6 7

Step-by-step explanation: Let S represent the sample space , then the possible trials are: S= {SSS, FSSS, FFSSS, FFFSSS, SSS, …}

Y = the number of trials to be tested.

The possible values of Y are P ={x ∈N , x≥3}

Therefore the five smallest possible values of Y are :

1. Y{SSS} 3 outcomes

2. Y{FSSS} 4 outcomes

3. Y{FFSSS} 5 outcomes

4. Y{FFFSSS} 6 outcomes

5. Y{SSS} 7 outcomes