# You are dealt a hand of three cards, one at a time. What is the probability that the first red card you get is the third card dealt?

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Using the Multiplication rule of probability we get

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Assuming you have a standard deck of 52 cards where one half of the deck is red and one half of the deck is black, you can do this calculation using The Multiplication Rule of Probability. What this law allows us to do is multiply the odds of something happening to get the odds of all the events happening.

Now in order for the first red card to be the third card dealt, the first two cards need to be black. The odds of drawing the first black card are:

So now we use the multiplication rule and multiply them all together

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