In a random experiment, a fair die is rolled until two fours are obtained in succession. The pro...

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In a random experiment, a fair die is rolled until two fours are obtained in succession. The probability that the experiment will end in the fifth throw of the die is equal to:
\( \mathrm{P} \)
(1) \( \frac{150}{6^{5}} \)
(2) \( \frac{175}{6^{5}} \)
(3) \( \frac{200}{6^{5}} \)
(4) \( \frac{225}{6^{5}} \)
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