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Home » \[ 6w + 10 = 58 \] - Midis

\[ 6w + 10 = 58 \] - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Question: A wildlife conservation genomics researcher is tracking 6 distinct mountain gorillas for genetic sampling. If the researcher plans to randomly select 3 gorillas to tag on Monday and the remaining 3 on Tuesday, what is the probability that two specific gorillas, Gorilla X and Gorilla Y, are both tagged on the same day?

📌 We begin by computing the total number of ways to divide 6 distinct gorillas into two groups of 3, where the order of the days (Monday and Tuesday) matters. This is simply:

📌 Now, we count the number of favorable outcomes where Gorilla X and Gorilla Y are both on the same day. There are two cases:

📌 Case 1:** Both X and Y are on Monday.

📌 Then we must choose 1 more gorilla from the remaining 4 to join them:

📌 \binom{4}{1} = 4

📌 Case 2:** Both X and Y are on Tuesday.

📌 Then the 3 gorillas on Monday must be chosen from the remaining 4:

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