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Mathematics 8 Online
OpenStudy (anonymous):

Using a standard deck of playing cards, find the probability of selecting a king and then selecting a heart once the king has been returned to the deck?

OpenStudy (agent0smith):

First, do you know the probability of getting a king?

OpenStudy (anonymous):

uhm, 4/52 . . . which reduces 2/26 1/13 Right?

OpenStudy (agent0smith):

Correct. Now what's the probability of getting a heart?

OpenStudy (anonymous):

That one, I don't know because I don't know how many there are in a deck

OpenStudy (agent0smith):

Okay, well there's 13 of each 'suit' in a deck (a suit is a heart, diamond, club, or spade). Now can you find the probability of getting a heart? Keep in mind that the king was put back into the deck. The last step is just to multiply the probabilities.

OpenStudy (anonymous):

13/52 1/4

OpenStudy (agent0smith):

Correct. Now P(king then heart) = P(king)*P(heart)

OpenStudy (anonymous):

1/13*1/4

OpenStudy (anonymous):

Thank you! :)

OpenStudy (agent0smith):

Welcome :)

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