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Home » Breaking: Mario Kart 9 Launch Date Confirmed – What Gamers Are Saying! - Midis

Breaking: Mario Kart 9 Launch Date Confirmed – What Gamers Are Saying! - Midis

📅 March 12, 2026 👤 scraface

Mar 12, 2026

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📌 Question: A food scientist is developing a new low-sugar snack bar and tests 10 different formulations. If she randomly selects 3 for nutritional analysis, what is the probability that at least two of them are among the top 4 most promising candidates?

📌 We calculate the probability of selecting **exactly 2** or **exactly 3** of the top 4 formulations, and sum them.

📌 Total number of ways to choose 3 from 10:

📌 Number of favorable outcomes:

📌 Exactly 2 from top 4 and 1 from the rest:

📌 \binom{4}{2} \cdot \binom{6}{1} = 6 \cdot 6 = 36

📌 Exactly 3 from top 4:

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3\theta = 330^\circ + 360^\circ k \quad \Rightarrow \quad \theta = 110...
We now find all $ \theta \in [0^\circ, 360^\circ] $ by plugging intege...
For $ \theta = 10^\circ + 120^\circ k $:
$ k = 0 $: $ 10^\circ $
$ k = 1 $: $ 130^\circ $
$ k = 2 $: $ 250^\circ $
$ k = 3 $: $ 370^\circ $ → too large
For $ \theta = 110^\circ + 120^\circ k $:
$ k = 0 $: $ 110^\circ $
$ k = 1 $: $ 230^\circ $

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