If 2 cards are drawn at random without replacement from a standard deck, find the probability that the second card is red, given that the first card was a heart

Question

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Answer 1

 

Since the first card was a heart, it is red.  We are not replacing the cards. so on the second draw,

There is 1 less red card in the deck.  26 - 1 = 25.  There is also 1 less card in the entire deck.  52 - 1 = 51.

 

The probability of the second card being red 25/51