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A die is thrown again and again until t...

A die is thrown again and again until three sixes are obtained. Find the probability of obtaining the third six in the sixth throw of the die.

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To find the probability of obtaining the third six in the sixth throw of a die, we can break down the problem step by step. ### Step 1: Understand the Problem We need to find the probability that the third six occurs on the sixth throw. This means that in the first five throws, we must have exactly two sixes, and the sixth throw must be a six. ### Step 2: Calculate the Probability of the Sixth Throw The probability of rolling a six on the sixth throw is: \[ ...
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