Probability and Coin Flips: The Wright Brothers' Contest

The video explores a hypothetical coin flip contest between the Wright brothers, where Orville wins with two consecutive heads and Wilbur wins with a heads followed by tails. It explains why Wilbur has a higher probability of winning due to the structure of the coin flip sequences. The video uses probability and algebra to calculate the average number of flips needed for each scenario, showing that heads/tails takes fewer flips on average than heads/heads. Despite Wilbur winning the initial coin flip, Orville ultimately made aviation history.

What method did the Wright brothers use to decide who would fly first?

• A card draw

• A rock-paper-scissors game

• A dice roll

• A coin flip

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CCSS.HSS.CP.A.1

In the more complex contest, what sequence allows Orville to win?

• Two consecutive tails

• Two consecutive heads

• A tail followed by a head

• A head followed by a tail

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CCSS.7.SP.C.7A

Why might it initially seem that both brothers have an equal chance of winning?

• Because they both start at the same time

• Because they both have the same coin

• Because the coin is biased

• Because there are four possible outcomes for two flips

What advantage does Wilbur have in the coin-flipping contest?

• His sequence is more likely to occur first

• His sequence is shorter

• He starts first

• He uses a different coin

How is the sequence of coin flips visualized in the video?

• As a race

• As a puzzle

• As a board game

• As a card game

What is the average number of flips needed to achieve the heads/tails sequence?

• Two flips

• Five flips

• Four flips

• Three flips

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CCSS.HSS.MD.A.2

What is the average number of flips needed to achieve the heads/heads sequence?

• Seven flips

• Four flips

• Five flips

• Six flips

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CCSS.7.SP.C.8B

What happens if the first flip in the heads/heads sequence is tails?

• You move forward

• You stay in place

• You go back to the start

• You win immediately

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CCSS.RI.11-12.8

CCSS.RI.7.7

CCSS.RI.8.7

CCSS.RL.8.7

CCSS.RL.9-10.7

What historical outcome is mentioned at the end of the video?

• Wilbur's successful flight

• Neither brother attempted the flight

• Orville's successful flight

• Both brothers failed

What does the video use to demonstrate the probability of each sequence?

• Physics and chemistry

• Geometry and trigonometry

• Probability and algebra

• Statistics and calculus