Solution: The total number of possible calibration configurations is $3^6$. To count favorable cases, choose 4 sensors to be in "precision mode" in $\binom64$ ways, and the remaining 2 sensors can be in either of the other 2 settings, giving $2^2$ possibilities. The probability is $\frac\binom64 \cdot 2^23^6 = \frac15 \cdot 4729 = \frac60729 = \frac20243$. Thus, the final answer is $\boxed\dfrac20243$.Question: A tech startup founder wants to align two project timelines with cycles of 10 and 15 months. What is the least number of months after which both projects will synchronize? - Portal da Acústica
Mar 01, 2026
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