There are 13 heart cards in a deck of 52 cards.
Without replacement, the probability of drawing hearts will be:
[tex]\text{ Probability = \lparen1st draw\rparen\lparen2nd draw\rparen\lparen3rd draw\rparen\lparen4th draw\rparen}[/tex][tex]\text{ Probability = \lparen}\frac{13}{52})(\frac{12}{51})(\frac{11}{50})(\frac{10}{49})[/tex][tex]\text{ = }\frac{17,160}{6,497,400}\text{ = }\frac{11}{4165}\text{ = 0.00264105642}[/tex][tex]\text{ Probability }\approx\text{ 0.003}[/tex]
Therefore, the probability is around 0.003
