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Question
a bag with 8 marbles has 4 red marbles, 3 yellow marbles, and 1 blue marble. a marble is chosen from the bag at random. what is the probability that it is red? write your answer as a fraction in simplest form.
Step1: Identify total and favorable outcomes
Total marbles = 8, Red marbles = 4
Step2: Calculate probability
Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{4}{8}$
Step3: Simplify the fraction
$\frac{4\div4}{8\div4}=\frac{1}{2}$
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$\frac{1}{2}$