A fair coin is tossed 100 times. According to the Laplace approximation, what is the probability that

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A fair coin is tossed 100 times. According to the Laplace approximation, what is the probability that exactly 

(a) 50 heads are obtained? 

(b) 51 heads? 

(c) 52 heads? 

(d) Is the Laplace approximation valid in these computations?

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