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 StartFraction 15 Over 32 EndFraction . ​(Type an integer or a simplified​ fraction.) b. What are the actual odds against​ winning? The actual odds against winning are

Answer 1

Answer:

(a)$\dfrac{15}{32}$

(b) 17:15

Step-by-step explanation:

(a)

The roulette wheel has 32 slots (inclusive of 0 and 00)

Number of Odd Numbers between 1 to 30 =15

Since you are placing a bet that the outcome is an odd number.

$P(\text{Winning})=\dfrac{\text{Number of Odd Numbers}}{\text{Total Number of Slots}} \\=\dfrac{15}{32}$

(b) The actual odds against​ winning

$\text{Actual Odds against Winning})=\dfrac{32-15}{15}\\=\dfrac{17}{15}$

Therefore, the actual odds against​ winning are 17:15