Question
A dice is rolled six times. What is the probability that
a six appears on the sixth roll for the second time in 6 rolls?Solution
Six can appear in these ways:
6XXXX6, X6XXX6, XX6XX6, XXX6X6 and XXXX66
Probability that a six appears on the sixth roll for the second time in 6 rolls
= (1/6)*(1/6) + (1/6)*(1/6) + (1/6)*(1/6) + (1/6)*(1/6) + (1/6)*(1/6) = 5/36
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