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?

The probability that Eli chooses winners in a row is .

Further explanation:

Given:

Eli flips a fair coin to decide which team chooses as a winner.

Concept used:

The probability of any event can be calculated as follows:

…… (1)

Here, is the total number of elements in event and is the number of element in sample space of an experiment.

Calculation:

The sample space is the total possible outcomes in an experiment.

Consider as the number of element in sample space .

The possible outcomes in sample space are win and lose.

The sample space is as follows:

Therefore, the number of element in sample space is as follows:

Consider as the event that Eli choosing the winner team, as the number of favorable outcomes in event and   as the probability of event .

The winner is chooses if Eli flips the coin. There is chance that Eli chooses winner either head comes or tail comes.

Therefore, there is only one favorable outcomes to choose the winning team.

The number of favorable outcomes in an event can be calculated as follows:

Substitute for and for in the equation (1) to obtain the probability .

The probability that Eli chooses winner in a row can be calculated as follows:

Thus, the probability that Eli chooses winner in a row is .

Learn more:

1. Learn more about problem on circle

2. Learn more about problem on graph

Answer details:

Grade: Senior school

Subject: Mathematics

Chapter: Probability

Keywords: Probability, Eli, favorable outcomes, event, experiment, winner, sample space, fair coin, number of element, 7 winners, in a row, basic probability theorem.

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step-by-step explanation: