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. How many favorable outcomes are possible for this event?

Answer 1

In the context of the problem, the event we are interested in is the first draw being a green token.

Initially, there are a total of:
- 10 blue tokens,
- 8 green tokens,
- 12 red tokens.

Calculating the total number of tokens, we have:
\[
10 + 8 + 12 = 30 \text{ tokens in total}.
\]

When Marcus draws the first token, for this specific event (drawing a green token), we must consider only the green tokens. There are 8 green tokens available.

Since we are asked for the number of favorable outcomes for the event that the first draw is a green token, the answer is simply the number of green tokens available to draw.

Thus, the number of favorable outcomes for this event is:
\[
\boxed{8}.
\]