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Home » Total distance: \( 30 \text km + 60 \text km = 90 \text km \) - Professionaloutdoormedia

Total distance: \( 30 \text km + 60 \text km = 90 \text km \) - Professionaloutdoormedia

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 A software engineer is testing a machine learning model that predicts whether a user clicks on an ad. The model correctly identifies a click 85% of the time when one occurs, and correctly identifies no click 90% of the time when none occurs. If 20% of all users actually click, what is the probability that a user actually clicked given the model predicted a click?

📌 First, compute total probability of a predicted click:

📌 eg C) = (0.85)(0.2) + (0.10)(0.8) = 0.17 + 0.08 = 0.25

📌 Thus, the probability that a user actually clicked given a positive prediction is:

📌 An anthropologist collects data on 6 distinct cultural rituals from a remote tribe. She wishes to select a sequence of 4 rituals to present in a report, where repetition is allowed and order matters. However, the ritual on fire is never presented in consecutive positions. If one of the 6 rituals is fire, how many valid sequences can she choose?

📌 We model this with a recurrence. Define:

📌 Total number of ways to choose 3 distinct numbers:

📌 Simplify: divide numerator and denominator by 13? Check GCD.

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