Question

What is the likelihood of picking a green marble from a box that has 4 red marbles, 5 green marbles and 3 blue marbles?

A
Likely

B
Impossible

C
Certain

D
Equally Likely

E
Unlikely

Answer 1

To find the likelihood of picking a green marble from the box, we first need to determine the total number of marbles and then the number of green marbles.

- Number of red marbles: 4
- Number of green marbles: 5
- Number of blue marbles: 3

Total number of marbles = 4 (red) + 5 (green) + 3 (blue) = 12 marbles.

Now, the number of green marbles is 5.

The probability of picking a green marble is calculated as:

\[
\text{Probability of green marble} = \frac{\text{Number of green marbles}}{\text{Total number of marbles}} = \frac{5}{12}
\]

Since there is a positive chance (5 out of 12) of picking a green marble, it is neither impossible nor certain. Evaluating the likelihood:

- "Likely" suggests a probability greater than 0.5.
- "Impossible" means the event cannot happen at all.
- "Certain" means the event will definitely happen (probability of 1).
- "Equally Likely" would mean all outcomes have the same probability.
- "Unlikely" suggests a probability less than 0.5 but greater than 0.

Since the probability of picking a green marble (5/12) is less than 0.5, it can be categorized as "Unlikely."

Thus, the answer is:

**E. Unlikely**