Since a coin is weighted, tails is more likey. When you test the coin by flipping it 10 times, you observe that tails comes up 9 times. How likely is it that such extreme behavior would occur in a fair coin?(In other words, assuming that the coin is fair, what is the probability of getting tails 9 or 10 times?)
Binomial distribution: P(x) = nCx px qn-x
P(tails), p = 0.5
q = 1 - p = 0.5
number of tosses, n = 10
Probability of getting 9 or 10 tails in fair coin = P(9) + P(10)
= 10C9 x 0.59 x 0.5 + 0.510
= 0.0107
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