Solution: The total number of possible state combinations is $2^5 = 32$. The number of ways to choose 2 elements to be active is $\binom52 = 10$. Since each combination is equally likely, the probability is $\frac1032 = \frac516$. Thus, the final answer is $\boxed\dfrac516$. - Crosslake
Mar 01, 2026
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