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Want to generate a random variable X, equally likely 0, 1, using biased coin (heads probability p).

1. Flip coin, result is labled [tex]0_{1}[/tex]

2. Flip coin, result is labeled [tex]0_{2}[/tex]

3. [tex]0_{1} = 0_{2} [/tex]=> return to step 1

4. [tex]0_{2} [/tex]= heads => X = 0, [tex]0_{2}[/tex] = tails => X = 1

Show X is equally likely to be 0 or 1.

A good place to start would be showing P{X = 0} = P{X = 1}. Can you show me how to find those two probabilities?

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# Discrete distribution

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