Final answer:
The odds in favor of rolling two numbers less than 3 when rolling two six-sided dice are 4 to 32, which simplifies to 1 to 8.
Step-by-step explanation:
The question asks for the odds in favor of rolling two numbers less than 3 when rolling two six-sided dice. To find the odds, we first determine the number of successful outcomes. We are interested in the outcomes where both dice show either a 1 or a 2. There are four such outcomes (1-1, 1-2, 2-1, 2-2) since each die is independent of the other. The total number of possible outcomes when rolling two dice is 36 (6 sides on the first die times 6 sides on the second die).
The odds in favor of an event are calculated as the ratio of the number of successful outcomes to the number of unsuccessful outcomes. In this case, there are four successful outcomes and 32 unsuccessful outcomes (36 total minus 4 successful). Therefore, the odds in favor are 4 to 32, which can be simplified to 1 to 8 by dividing both numbers by 4.