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Another common bet in roulette is on the number being even or odd (not including 0 or 00). If the wheel is spun once, what is the probability of the outcome being an odd number?

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Answer:

9/19  or  47.4% (nearest tenth)

Step-by-step explanation:

A roulette wheel is numbered 1 to 36 with 0 and 00.

Therefore, there is a total of 38 evenly-spaced pockets.

The number of odd numbers from 1 to 36 is 18

(1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35)

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \textsf{Probability of odd number}= \sf \dfrac{18}{38}=\dfrac{9}{19}=47.4\%[/tex]

Roulette wheel contains 1 to 36 numbers excluding 0 and 00

  • Total nos =38

Total odd nos

{1,3,5,7,9,11,13,15,17,19,21,23,25,29,31,33,35}

  • Total=18

Probability

  • 18/38
  • 9/19