Final answer:
The odds against drawing a green pen from the bag are calculated by comparing the number of unfavorable outcomes (other pens) to the number of favorable outcomes (green pens). There are 2 green pens and 7 non-green pens, which leads to odds against drawing a green pen of 7 to 2.
Step-by-step explanation:
The question asks for the odds against drawing a green pen from a bag containing various colored pens. To calculate the odds against drawing a green pen, we first need to find out the number of favorable outcomes (green pens) and the number of unfavorable outcomes (all other pens that are not green).
In this case, there are 2 green pens and 7 other pens (3 pink, 3 speckled, and 1 yellow). The total number of pens is 9 (2 green + 7 others).
The odds against drawing a green pen are the ratio of the number of ways it can happen (drawing a non-green pen) to the number of ways it cannot happen (drawing a green pen). This can be calculated as follows:
- Odds against drawing a green pen = Number of non-green pens : Number of green pens
- Odds against drawing a green pen = 7 : 2
Therefore, the odds against drawing a green pen are 7 to 2.