Jeff has 8 red marbles, 6 blue marbles, and 4 green marbles that are the same size and shape. He puts the marbles into a bag, mixes the marbles, and randomly picks one marble. What is the probability that the marble will be blue?
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To find the probability of Jeff picking a blue marble, we start by determining the total number of marbles. He has 8 red + 6 blue + 4 green = 18 marbles in total. The probability of selecting a blue marble is the number of blue marbles divided by the total number of marbles, which is 6 blue marbles / 18 total marbles = 1/3. Therefore, the probability that the marble will be blue is 1/3! Remember, probability is all about favorable outcomes over total outcomes. It's always a good idea to sketch it out if you're a visual learner! Just draw a simple bag and jot down in it how many marbles you have of each color. It makes everything clearer!