Binomial Random Variables and the Binomial Distribution (part 2)

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Do you have some independent, identical trials on your hands? Is the outcome for each trial binary? This is just the video for you.
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@Professor Knudson 3:33. Could you kindly explain, how can I systematically come to the expression that it is actually equal to P(X=1) from its previous line (which is P(X=1 | X=0 or X=1) ?

asifmahmud