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n = \frac-2 \pm 20.62 - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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inom{14}{2} = rac{14 \cdot 13}{2} = 91
rac{91}{455} = rac{1}{5}
So, the probability that the sum is even is $oxed{\dfrac{1}{5}}$.
Question: Three random integers are chosen independently and uniformly...
Solution: We compute the probability that exactly two distinct values...
Total number of possible outcomes: $101^3$, since each integer has 101...
Now, count favorable outcomes where exactly two distinct values occur.
Step 1: Choose the two distinct values. Let them be $a$ and $b$, $a
e b$. There are $inom{101}{2}$ ways to choose the pair.
Step 2: For each such pair, how many ways can the three integers be as...

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