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A modified roulette wheel has 36 slots. One slot is​ 0, another is​ 00, and the others are numbered 1 through 34​, respectively. You are placing a bet that the outcome is an even number.​ (In roulette, 0 and 00 are neither odd nor​ even.) a. What is your probability of​ winning?

Sagot :

Answer:

[tex]P(win) = 0.4722[/tex]

Step-by-step explanation:

Given

[tex]n = 36[/tex] --- slots

[tex]Even = 17[/tex] i.e. even numbers between 1 and 34 (inclusive)

Required

[tex]P(win)[/tex]

The probabiity of winning is the number of even numbers divided by the total slot;

i.e.

[tex]P(win) = \frac{Even}{n}[/tex]

So, we have:

[tex]P(win) = \frac{17}{36}[/tex]

[tex]P(win) = 0.4722[/tex]