Answer: The probability that both cards that are drawn are hearts is
1
17
.
Explanation:
First off, know that there are 13 heart cards in the deck of 52 cards. Therefore, the chance of pulling a single heart card is
13
52
. Let's say we do pull a heart card. Since there is no replacement for the heart card taken out of the deck, we now have 12 heart cards out a deck of 51 cards. The chance of pulling out a heart card in now
12
51
. To find the probability that both cards drawn out are hearts, multiply the two fractions together:
(
13
52
)
⋅
(
12
51
)
=
156
2652
=
1
17
.
Step-by-step explanation:
