Question

an american roulette wheel has 38 slots: two slots are numbered 0 and 00, and the remaining slots are numbered from 1 to 36. what are the odds for the ball landing on either 0 or 00? to what are the odds against the ball landing on either 0 or 00? to simplify your answers.

Explanation:

Step1: Calculate favorable and non - favorable outcomes

The number of favorable outcomes (landing on 0 or 00) is $n_f = 2$. The number of non - favorable outcomes is $n_{nf}=38 - 2=36$.

Step2: Calculate odds for

The odds for an event is the ratio of the number of favorable outcomes to the number of non - favorable outcomes. So, odds for the ball landing on 0 or 00 is $\frac{n_f}{n_{nf}}=\frac{2}{36}=\frac{1}{18}$, or 1 to 18.

Step3: Calculate odds against

The odds against an event is the ratio of the number of non - favorable outcomes to the number of favorable outcomes. So, odds against the ball landing on 0 or 00 is $\frac{n_{nf}}{n_f}=\frac{36}{2}=\frac{18}{1}$, or 18 to 1.

Answer:

1. 1 to 18
2. 18 to 1