A box contains 3 red, 4 blue, and 5 green marbles. If one marble is drawn at random, what is the probability it is not blue?
["Title: Probability of Drawing a Marble That Is Not Blue: A Simple Guide", "When dealing with probability questions in everyday situations, understanding the basic principles can turn confusion into clarity. One classic example involves marbles of different colors in a box. Whether you’re a student learning statistics or simply curious about chance, this article explains how to find the probability that a randomly drawn marble is not blue from a box containing red, blue, and green marbles.", "In this scenario, the box contains:\n- 3 red marbles\n- 4 blue marbles\n- 5 green marbles", "### Total Number of Marbles\nTo calculate probabilities, start by finding the total number of marbles:\n3 (red) + 4 (blue) + 5 (green) = 12 marbles", "### Probability of Drawing a Blue Marble\nThe chance of drawing a blue marble is the number of blue marbles divided by the total number:\n[\n\frac{4}{12} = \frac{1}{3}\n]", "### Probability It Is Not Blue\nSince the marble drawn must be either red, blue, or green, the events are mutually exclusive and exhaustive. The probability of not drawing a blue marble is:\n[\n1 - P(\ ext{blue}) = 1 - \frac{4}{12} = \frac{8}{12} = \frac{2}{3}\n]", "Alternatively, add the counts of red and green marbles and divide by the total:\n[\n\frac{3 + 5}{12} = \frac{8}{12} = \frac{2}{3}\n]", "### Final Answer\nThe probability of drawing a marble that is not blue is 2/3.", "Understanding such probability calculations helps with decision-making, gambling odds, real-life predictions, and even data analysis. So next time you reach into a container of colored marbles—or face chance in any form—remember: total outcomes and favorable non-outcomes simplify the mystery of probability.", "---", "Keywords: probability, marbles, not blue marble, probability calculation, combinatorics, chance, statistics, probability problem, box with marbles, red green blue marbles\nMeta Description: Learn how to calculate the probability of not drawing a blue marble from a box containing 3 red, 4 blue, and 5 green marbles. Step-by-step breakdown made simple."]
