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drek231 [11]
3 years ago
14

Eli, a pretty smart ape in the Salt Lake City zoo, has correctly picked the winner of the last 7 Super Bowls. Read about Eli's p

rowess at selecting winners here. Question. If Eli is guessing when he chooses a Super Bowl winner (that is, he mentally flips a fair coin to decide which team he chooses as the winner), what is the probability that Eli chooses 7 winners in a row? (use 4 decimal places in your answer)
Mathematics
1 answer:
Anna [14]3 years ago
4 0

Answer:

There is a 0.78% probability that Eli chooses 7 winners in a row.

Step-by-step explanation:

There were 7 Super Bowls.

In each Super Bowl, there were two teams.

So, the probability that Eli chooses 7 winners in a row is

P = \frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2} = \frac{1}{128} = 0.0078

There is a 0.78% probability that Eli chooses 7 winners in a row.

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