FLIPPING COINS (and Lying about it!)

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Presentation transcript:

FLIPPING COINS (and Lying about it!) Nevada Math Project Day 1 WELCOME

MEET OUR PROJECT TEAM S P E N C D A V E L E N Y

COIN TOSSES AT THE SUPERBOWL Does the winner of the coin toss have an advantage at the superbowl? In other words does the winner of the coin toss win the super bowl an unusually large amount of the time? We have data from 50 super bowls – what do you think it shows?

I want you to flip a coin 100 times…. HOW WOULD I TELL YOU CHEATED? RECORD RESULTS AS: T,H,T,T,H,T,…. ACTUALLY, I WANT YOU TO PRETEND…

what are the chances of exactly By the way, what are the chances of exactly 50 heads? 𝟏𝟐𝟔𝟏𝟏𝟒𝟏𝟖𝟎𝟔𝟖𝟏𝟗𝟓𝟓𝟐𝟒𝟏𝟔𝟔𝟖𝟓𝟏𝟓𝟔𝟐𝟏𝟓𝟕 𝟏𝟓𝟖𝟒𝟓𝟔𝟑𝟐𝟓𝟎𝟐𝟖𝟓𝟐𝟖𝟔𝟕𝟓𝟏𝟖𝟕𝟎𝟖𝟕𝟗𝟎𝟎𝟔𝟕𝟐 ≈0.0796 ABOUT 8% of the time

In Fifty Super Bowl Coin Tosses HEADS 24 TIMES and TAILS 26 TIMES 3 RUNS of Length 4: 1990-1993 H H H H 1998-2001 T T T T 2003 – 2006 T T T T We are on a current run of 3 2014-2016 T T T

What about the winners & Losers? 24 out of 50 times the winner of the coin toss wins the super bowl! THERE IS NO UNFAIR ADVANTAGE