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Home » This Simple Prayer Transformed My Life—Discover the Secret of the Full Serenity Prayer! - RTA

This Simple Prayer Transformed My Life—Discover the Secret of the Full Serenity Prayer! - RTA

📅 May 12, 2026 👤 scraface

May 12, 2026

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📌 P(X = 5) = 252 \cdot 0.00243 \cdot 0.16807 \approx 252 \cdot 0.0004084 = 0.1029

📌 Thus, the probability that it rains on exactly 5 out of 10 randomly selected days is approximately:

📌 \boxed{0.1029}

📌 Question: A science communicator wants to create a 5-part video series on the planets. If each episode can be arranged in any order, how many distinct sequences can be made if the episode on Mars must always come before Earth’s episode?

📌 There are 5 distinct episodes, so the total number of unrestricted permutations is:

📌 Now, impose the condition that the Mars episode must come **before** Earth’s.

📌 In any permutation of the 5 episodes, Mars comes before Earth in exactly **half** the cases (since the two are interchangeable in position).

📌 Thus, the number of valid sequences is:

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