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inessss [21]
3 years ago
9

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
Mathematics
1 answer:
RUDIKE [14]3 years ago
5 0

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

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