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?
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:
\(\frac{13}{52}* \frac{12}{51} = \frac{13*2*2*3}{2*2*13*3*17}\)
\(= \frac{1}{17}\)
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