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Solution: First compute $ s(4) $: - AMAZONAWS
Solution: First compute $ s(4) $: - AMAZONAWS
📅 March 6, 2026
👤 scraface
Mar 06, 2026
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📌 #### 264Question: An epidemiologist models the spread of a virus where each infected person has a $\frac{1}{3}$ chance of transmitting it to a contact. What is the probability that exactly 2 out of 4 contacts become infected?
📌 Solution: This is equivalent to finding the number of ways to partition 6 distinct elements into 2 non-empty subsets, which is the Stirling number of the second kind $S(6, 2)$. The formula for $S(n, 2)$ is $2^{n-1} - 1$. For $n = 6$:
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