Question: A password of a computer consists of five digits 1 through 6. What is the probability that all digits are divisible by 3 ?\nOptions:\n(A) 1/3\n(B) 1/6\n(C) 1/27\n(D) 1/243\n(E) 1/486 Random thoughts:
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For each digit there are six possibilities. Two of them (3 and 6) are divisible by three, so there is a one in three chance for each digit, and since the digits are independent of each other, overall probability is 1 / 3^5 or The final answer: (D).
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