Suppose George loses 66​% of all staring contests. ​(a) What is the 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.

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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.

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