Question

Marcus randomly draws tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green token. What is the probability of this event?

(1 point)
Responses

411

4 11

415

4 15

12

1 2

13

Answer 1

To find the probability of drawing a green token from the bag, we first need to determine the total number of tokens in the bag.

- Blue tokens: 10
- Green tokens: 8
- Red tokens: 12

Total tokens = 10 (blue) + 8 (green) + 12 (red) = 30 tokens.

Now, the probability of drawing a green token is given by the formula:

\[
P(\text{Green}) = \frac{\text{Number of green tokens}}{\text{Total number of tokens}} = \frac{8}{30}.
\]

We can simplify this fraction:

\[
\frac{8}{30} = \frac{4}{15}.
\]

Thus, the probability of drawing a green token on the first draw is \(\frac{4}{15}\).

The correct response is: **4 15**.