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Mathematics 17 Online
OpenStudy (anonymous):

Sara selects two cards at random from a standard deck of fifty-two cards. Which of the following could be used to calculate the probability that she will select two even numbered cards if she replaces the first card before selecting the second? Note: For this problem, face cards and aces are not numbered cards. A: 20/52 x 20/51 B: 20/52 x 19/51 C: 20/52 x 19/52 D: 20/52 x 20/52

OpenStudy (mathstudent55):

How many even-numbered cardsa are there is a deck?

OpenStudy (anonymous):

5?

OpenStudy (mathstudent55):

In each suit, there are cards numberd from 2 to 10, so there are 5 even-numbered cards per suit, but there are 4 suits.

OpenStudy (anonymous):

20

OpenStudy (mathstudent55):

Good. If you take one single card at random out of the full deck, what is the probability it will be even? There are 20 even cards out of 52 total cards.

OpenStudy (anonymous):

26% chance?

OpenStudy (mathstudent55):

You have the probability of 20 out of 52, or 20/52

OpenStudy (anonymous):

Oh o.o

OpenStudy (mathstudent55):

Then the card is replaced, so when Sara tries the second time, the probability is the same. 20/52. Since these are two independent events, the probability of drawing two even cards is the product of the two probabilitues, or 20/52 * 20/52

OpenStudy (anonymous):

Tyvm

OpenStudy (mathstudent55):

wlcm

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