Answer:
a) 43.56% probability that George loses two staring contests in a row.
b) 18.97% probability that George loses four staring contests in a row.
Step-by-step explanation:
In each staring contest, George has a 66% probability of losing.
(a) What is the probability that George loses two staring contests in a row?
[tex]P = (0.66)^{2} = 0.4356[/tex]
43.56% probability that George loses two staring contests in a row.
(b) What is the probability that George loses four staring contests in a row? Assume that each game played is independent of the rest.
[tex]P = (0.66)^{4} = 0.1897[/tex]
18.97% probability that George loses four staring contests in a row.