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Home » Total growing species: \( 34 + 23 + 18 = 75 \) - RoadRUNNER Motorcycle Touring & Travel Magazine

Total growing species: \( 34 + 23 + 18 = 75 \) - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 A geologist has 3 distinct types of minerals: quartz, feldspar, and mica. If she randomly picks 3 minerals from a collection containing 4 quartz, 5 feldspar, and 6 mica, what is the probability that she picks exactly 1 mineral of each type?

📌 Next, calculate the number of favorable outcomes where exactly 1 mineral of each type is chosen. This involves choosing 1 quartz from 4, 1 feldspar from 5, and 1 mica from 6:

📌 The probability of picking exactly one of each type of mineral is the ratio of favorable outcomes to the total number of outcomes:

📌 An entomologist is studying a population of insects consisting of 7 beetles, 5 ants, and 8 butterflies. If she randomly selects 4 insects, what is the probability that she selects at least one of each type?

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📌 Add these cases together to find the total number of favorable outcomes:

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