Two cards are drawn successively without replacement

Question:

Two cards are drawn successively without replacement from a well shuffled deck of cards. Find the mean and standard variation of the random variable X where X is the number of aces.

Solution:

Let’s consider X to be the random variable such that X = 0, 1, 2

Now, let E = the event of drawing an ace

And, F = the event of drawing non – ace

So,

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