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big 10 bball scores - DevRocket

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Question: A tech incubator receives 6 distinct investment proposals from startups. If they randomly select 2 proposals to advance to the next round, what is the probability that both proposals are from companies founded in the same year, given that 3 were founded in 2022, and 3 in 2023?

📌 Total number of ways to choose 2 proposals from 6:

📌 Number of favorable outcomes: choosing 2 from the 2022 group or 2 from the 2023 group:

📌 Question: A UX designer is testing 5 different app interfaces with 3 users. Each user independently selects their favorite interface at random. What is the probability that exactly two users choose the same interface, and the third chooses a different one?

📌 We compute the total number of possible selections: each user has 5 choices, so:

📌 Now count the number of favorable outcomes where exactly two users pick the same interface and the third picks a different one.

📌 Step 1: Choose which interface is selected by two users: 5 choices.

📌 Step 3: Choose a different interface for the third user: 4 choices.

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