Question

Bella has a stack of three cards numbered 1, 2 and 3. She flips a card, puts in back the back stack, and flips another card. What is the sample space and possible outcomes of flipping cards from the stack two times?

Answer 1

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: