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homewood suites by hilton somerset somerset nj 08873 - Imagemakers

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 We compute the number of favorable outcomes:

📌 Question: A statistician is modeling a random process where a fair 8-sided die (faces numbered 1 to 8) is rolled four times. What is the probability that the number 5 appears exactly twice and the number 8 appears exactly once?

📌 Solution: We are rolling an 8-sided die four times. We want exactly:

📌 The remaining 1 roll to be any number other than 5 or 8.

📌 First, count the number of favorable sequences.

📌 Each roll is independent, and each outcome has probability $

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