Consider the bet that all three dice will turn up sixes at least once in [math]n[/math] rolls of three dice. Calculate [math]f(n)[/math], the probability of at least one triple-six when three dice are rolled [math]n[/math] times. Determine the smallest value of [math]n[/math] necessary for a favorable bet that a triple-six will occur when three dice are rolled [math]n[/math] times. (DeMoivre would say it should be about [math]216\log 2 = 149.7[/math] and so would answer 150---see Exercise. Do you agree with him?)