Question

A jar contains 10 green, 7 red, and 3 blue marbles.



(1 point)
What is the probability of randomly picking a blue marble? Write your answer as a decimal.
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Answer 1

To find the probability of randomly picking a blue marble, you need to divide the number of blue marbles by the total number of marbles.

The number of blue marbles is 3. The total number of marbles is:

\[
10 \text{ (green)} + 7 \text{ (red)} + 3 \text{ (blue)} = 20 \text{ (total marbles)}
\]

Now, the probability \( P \) of picking a blue marble is given by:

\[
P(\text{blue}) = \frac{\text{Number of blue marbles}}{\text{Total number of marbles}} = \frac{3}{20}
\]

Now, convert this fraction to a decimal:

\[
\frac{3}{20} = 0.15
\]

Thus, the probability of randomly picking a blue marble is **0.15**.