A standard deck of playing cards has 52 cards. The cards are one of two colors:

Question

A standard deck of playing cards has 52 cards. The cards are one of two colors: 26cards in the deck are red and 26 are black. The cards are divided into four suits: 13cards are spades (black). Each suit has the following cards: 2, 3, 4, 5, 6, 7, 8, 9, 10, ace (A), jack(J), queen (Q) and king (K). Two cards are drawn at random from the deck one at a time without replacement. Given that the first card is a heart what is the probability that the second card is also a heart? 13/$2 12/$1 13/$1 (13/$2)(12/$1)

Explanation / Answer

When the first card drawn is hearts, we have 51 cards remaining which have remaining 12 hearts.

Given first card is a heart, probability that 2nd card is a heart = 12 / 51

Answer: Option 2

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