Answer:
The probability is 1/17.
Step-by-step explanation:
The total number of ways in which 2 cards can be selected from a pack of 52 cards is [tex]\binom{52}{2}[/tex]
The total number of combinations of 2 cards with hearts equals [tex]\binom{13}{2}[/tex]
Thus the probability of the event that both the cards have hearts becomes
[tex]P(E)=\frac{\binom{13}{2}}{\binom{52}{2}}=\frac{1}{17}[/tex]