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 total outcomes were possible for this event?

Answer 1

To determine the total outcomes possible for the event where Marcus draws a green token, we need to first identify the total number of tokens in the bag and then calculate the number of outcomes where a green token could be drawn.

1. Count the total number of tokens:

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

   Therefore, the total number of tokens is: \[ 10 + 8 + 12 = 30 \text{ tokens} \]

2. Identify the outcome for drawing a green token: Since we know that Marcus physically drew one token and it was a green token, the number of favorable outcomes for this single event is the number of green tokens available in the bag.

   Given there are 8 green tokens, the number of favorable outcomes for the draw resulting in a green token is: \[ 8 \text{ outcomes} \]

3. Conclusion: Since we are specifically looking for the number of total outcomes for the event of drawing a green token from the bag, and because Marcus made a draw from the total pool of tokens, it remains:

The total outcomes for this event (the outcome being the draw of a green token) would be that there are 8 ways to draw a green token.

Thus, the final answer is: \[ \boxed{8} \]