Solve the word problem.There are 8 red, 5 blue, and 2 green marbles in a hat. Without looking, what is the probability of picking a blue marble?
To find the probability of picking a blue marble, we need to determine the total number of marbles and the number of blue marbles
To find the probability of picking a blue marble, we need to determine the total number of marbles and the number of blue marbles.
In this problem, there are 8 red marbles, 5 blue marbles, and 2 green marbles. The total number of marbles is the sum of the red, blue, and green marbles:
Total number of marbles = 8 + 5 + 2 = 15
The number of blue marbles is 5.
Now, we can find the probability of picking a blue marble by dividing the number of blue marbles by the total number of marbles:
Probability of picking a blue marble = Number of blue marbles / Total number of marbles = 5/15
To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor, which is 5:
Probability of picking a blue marble = (5/5) / (15/5) = 1/3
Therefore, the probability of picking a blue marble, without looking, is 1/3.
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