Math Problem Statement
A bag contains 3 blue balls, 4 green balls and 5 red balls. Three balls are drawn simultaneously at random. Find the probability that
i) the balls are of different colour.(ii) two are blue and one is green.
(iii) the balls are of the same colour.
Solution
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Probability
Formulas
Combination formula: C(n, k) = n! / (k!(n-k)!)
Probability formula: P(Event) = Number of favorable outcomes / Total number of possible outcomes
Theorems
Basic Counting Principle
Combinatorial Probability
Suitable Grade Level
Grades 9-12
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