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question 12 of 39 mackenzie has a bag that contains 6 red marbles, 4 bl…

Question

question 12 of 39
mackenzie has a bag that contains 6 red marbles, 4 blue marbles, and 14 yellow marbles. if she chooses one marble from the bag, what is the probability that the marble is not yellow?
a. $\frac{5}{12}$
b. $\frac{5}{7}$
c. $\frac{7}{12}$
d. $\frac{2}{7}$

Explanation:

Step1: Calculate total number of marbles

Total marbles = red + blue + yellow = $6 + 4+14=24$

Step2: Calculate number of non - yellow marbles

Non - yellow marbles = red + blue = $6 + 4 = 10$

Step3: Calculate probability

Probability = $\frac{\text{non - yellow marbles}}{\text{total marbles}}=\frac{10}{24}=\frac{5}{12}$

Answer:

A. $\frac{5}{12}$