# math

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Kalil flipped a coin sixty times. He got thirty-four heads. How does this result compare to the number of heads you would have expected based on theoretical probability?

• math -

A sequence of coin tosses has a Binomial Probability Distribution Function.

Event probability: π=0.5
Sample Size: N = 60

Mean: Nπ = 30
Variance: σ^2 = Nπ(1-π) = 15
Std. Deviation: σ = 3.873...

So a result of 34 heads lies just outside of one standard deviation of the mean.

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