01
Sample space - roll a die, flip a coin
A normal 6-sided die is cast, and then a coin is flipped. All results are recorded.
(a) Define a sample space for this experiment.
(b) How many possible events are there?
02
Sample space - roll a die then flip coin(s)
A normal 6-sided die is cast. If the result is even, flip a coin two times; if the result is odd, flip a coin one time. All results are recorded.
(a) Define a sample space for this experiment.
(b) How many possible events are there?
03
Events - descriptions to sets
You are modeling quality assurance for cars coming off an assembly line. They are either good (G) or broken (B). You watch 4 cars come off and record their status as a sequence of these letters, for example ‘GGBG’.
Determine the sets defined by the events having the following descriptions:
(a) “third car is broken”
(b) “all cars have the same status”
(c) “at least one car is broken”
(d) “no consecutive cars have the same status”