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Home » do you win anything if you only get powerball number - Redraw

do you win anything if you only get powerball number - Redraw

📅 May 6, 2026 👤 scraface

May 06, 2026

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📌 Use complementary counting: subtract cases missing at least one type.

📌 Therefore, number of favorable outcomes:

📌 Simplify: divide numerator and denominator by 7:

📌 A sustainable industrial process uses 3 types of catalytic materials: 7 carbon-based, 5 ceramic, and 4 polymer-based. If 8 materials are selected at random, what is the probability that the selection includes at least two polymer-based catalysts?

📌 So divide numerator and denominator by 3 twice:

📌 A wildlife specialist is analyzing 9 habitat zones: 4 forest, 3 wetland, and 2 grassland. If 5 zones are selected at random, what is the probability that exactly 2 are forest and at least 1 is wetland?

📌 Total ways to choose 5 zones from 9:

📌 We want exactly 2 forest zones and at least 1 wetland.

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