Question

a modified roulette wheel has 32 slots. one slot is 0, another is 00, and the others are numbered 1 through 30, respectively. you are placing a bet that the outcome is an odd number (in roulette, 0 and 00 are neither odd nor even.)
a. what is your probability of winning?
the probability of winning is
(type an integer or a simplified fraction.)

Explanation:

Step1: Determine number of odd numbers

Numbers 1 - 30: odd numbers are 1,3,...,29. The count is $\frac{30}{2}=15$ (since half of 1 - 30 are odd).

Step2: Determine total possible outcomes

Total slots: 32 (0, 00, 1 - 30).

Step3: Calculate probability

Probability = $\frac{\text{Number of odd numbers}}{\text{Total outcomes}}=\frac{15}{32}$.

Answer:

$\frac{15}{32}$