You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that both cards are hearts. Express your answer as a simplified fraction.

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Answer:

1/17

Explanation:

There are 13 hearts in a deck of cards

first picking = 13 / 52

without replacement the number of hearts will reduce by 1 so also will the number of total card will also reduce

second picking = 12 / 51

Probability of picking two cards without replacement = 13/ 52 × 12/51 = 1/17

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