Question

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 prowess 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

Answer 1

Answer:

0.0078125

Step-by-step explanation:

If the probability of flipping a fair coin (mentally) correctly for 1 row is 0.5, then the probability of flipping it correctly for 2 rows is

0.5 * 0.5 = 0.25

for 3 rows: 0.5*0.5*0.5 = 0.125

...

For 7 rows:

$0.5*0.5*0.5*0.5*0.5*0.5*0.5 = 0.5^7 = 0.0078125$