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Math 137 `The Law of Large Numbers` Activity Burger FLIPPING A

Math 137 β€˜The Law of Large Numbers’ Activity
Burger
FLIPPING A COIN:
Theoretical Probability of getting tails: Recall the definition of probability is,
𝑃(π‘œπ‘“ π‘ π‘œπ‘šπ‘’ π‘œπ‘’π‘‘π‘π‘œπ‘šπ‘’) =
# π‘œπ‘“ π‘œπ‘π‘π‘’π‘Ÿπ‘’π‘›π‘π‘’π‘  π‘œπ‘“ π‘‘β„Žπ‘’ π‘œπ‘’π‘‘π‘π‘œπ‘šπ‘’
π‘‡π‘œπ‘‘π‘Žπ‘™ # π‘œπ‘“ π‘π‘œπ‘ π‘ π‘–π‘π‘™π‘’ π‘œπ‘π‘π‘’π‘Ÿπ‘’π‘›π‘π‘’π‘ 
1
Sample Space for flipping a coin: {𝐻, 𝑇} so … 𝑃(𝑇) = = 0.5
2
1
2
3
4
5
Experimental Probability of getting Tails:
6
7
8
9
10
Pooling of Data:
Student
Coin Flip #
Average of
probabilities
of all
previous
students
1
2
3
4
5
6
7
8
9
10
1
0.5
Graph:
Result

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