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charlie !

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sqr root 1000 x .5 x .5 = 15.81.

32/15.81= 2.02.However, if the results of the coin toss are given by a Net Gain/ Loss value i.e. wins - losses. So after player A makes 1000 predictions the net score = +32. Would it be correct to state that the result is +2 Standard Deviations from the mean.

As in the toss of a fair coin the player would expect to correctly predict 500 tosses and incorrectly predict 500 tosses. 500-500 = 0.

Thanx in advance for any answers.