Question

Jennifer chooses a playing card at random from a deck of 52 cards then she chooses another one. What is the probability that she will get 2 cards that are hearts?

Answer 1

52 cards in a deck
4 suits
1/4 of 52 are hearts
1/4 of 52=13 cards

probability of getting 1 heart at first is 1/4

one card is taken out and assuming that it is the heart, 13-1=12,52-1=51
12/51

multiply
1/4 times 12/51=3/51=1/17

 

Answer 2

There is a $\frac{13}{52}$ chance she will pick a heart the first time and a $\frac{12}{51}$ that she will the second time.
The probability of this occurring thus is:
$\frac{13}{52}* \frac{12}{51} = \frac{13*2*2*3}{2*2*13*3*17}$
$= \frac{1}{17}$