A roulette wheel has 34 slots around the rim; 32 slots are numbered from 1 to 32 . Half of these 32 slots are red, and the
other half are black. The remaining 2 slots are numbered 0 and 00 and are green. As the roulette wheel is spun in
one direction, a small ivory ball is rolled along the rim in the opposite direction. The ball has an equality likely chance of
falling into any one of the 34 slots. Find the probabilities of the events listed in parts (a) through (d) below.
a. Ball lands in a red slot
The probability of the event that the ball lands in a red slot is
(Type an integer or a simplified fraction.)

Question

UpStudy AI · Accepted Answer

To determine the probability that the ball lands in a red slot:

1. **Total Slots:** There are 34 slots in total.
2. **Red Slots:** Half of the 32 numbered slots are red, which gives $$ 16 $$ red slots.
3. **Probability Calculation:** The probability is the number of red slots divided by the total number of slots.

$$
\text{Probability} = \frac{16}{34} = \frac{8}{17}
$$

**Answer:** $$\boxed{\dfrac{8}{17}}$$
The probability that the ball lands in a red slot is $$\dfrac{8}{17}$$.

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