Question

If you draw two cards from the deck at the same time, what is the probability that they will both be hearts?

Answer 1

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 $\binom{52}{2}$

The total number of combinations of 2 cards with hearts equals $\binom{13}{2}$

Thus the probability of the event that both the cards have hearts becomes

$P(E)=\frac{\binom{13}{2}}{\binom{52}{2}}=\frac{1}{17}$