From a box containing 15 blue marbles, 8 red marbles, and 12 green marbles, what is the probability of randomly selecting a red marble?

To find the probability of randomly selecting a red marble from the box, we first need to determine the total number of marbles in the box.


We have:

- 15 blue marbles

- 8 red marbles

- 12 green marbles


Now we can calculate the total number of marbles:


\[

\text{Total number of marbles} = 15 + 8 + 12 = 35

\]


Next, we find the number of red marbles, which is given as 8.


The probability of selecting a red marble is the ratio of the number of red marbles to the total number of marbles:


\[

\text{Probability of selecting a red marble} = \frac{\text{Number of red marbles}}{\text{Total number of marbles}} = \frac{8}{35}

\]


Thus, the probability of randomly selecting a red marble is 


\[

\boxed{\frac{8}{35}}.

\]

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