Thread: Independence of Random Variables

I'm reading this online book SticiGui and Excercise 19-6 says, in effect, the following:

Two five-card hands are dealt from a deck of cards without replacement. The random variables "The number of Aces in the first hand," and "The number of hearts in the second hand," are dependent. I don't see, how, though. Given that, say, the first hand has two aces, how could that influence the probability of any number of hearts in the second hand?

Originally Posted by ragnar

I'm reading this online book SticiGui and Excercise 19-6 says, in effect, the following:

Two five-card hands are dealt from a deck of cards without replacement. The random variables "The number of Aces in the first hand," and "The number of hearts in the second hand," are dependent. I don't see, how, though. Given that, say, the first hand has two aces, how could that influence the probability of any number of hearts in the second hand?

Do you usually play with a deck that does not contain the Ace of Hearts ....?