From a set of thirteen marbles, eight black and five green, we choose one at random. a. What are the odds in favor of choosing a black marble? b. What are the odds against choosing a black marble? a. The odds in favor of choosing a black marble are \( 8: 5 \). (Simplify your answers.) b. The odds against choosing a black marble are \( \square: \square . ~ \) (Simplify your answers.)

Did you know that odds are a way of comparing the likelihood of two different outcomes? To figure out the odds against choosing a black marble, simply look at the number of ways you can pick a green marble versus a black one. Since you have 5 green marbles and 8 black marbles, the odds against picking a black marble will be \( 5:8 \). Odds might seem tricky at first, but if you remember to focus on the ratio of favorable outcomes to unfavorable outcomes, you'll master the concept in no time! Always make sure you count your options correctly to avoid common mistakes—like forgetting to include all possible selections!