Two playing cards are drawn from a deck, they are the 5 of Spades and the Queen of Hearts. What is the probability that the third card drawn has a value between the 5 and the Queen? (Note: suit does matter here.)

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- September 17th 2008, 08:52 AMteekayohStatistics Card Problem
Two playing cards are drawn from a deck, they are the 5 of Spades and the Queen of Hearts. What is the probability that the third card drawn has a value between the 5 and the Queen? (Note: suit does matter here.)

- September 17th 2008, 09:53 AMChris L T521
- September 17th 2008, 02:45 PMSoroban~
Hello, teekayoh!

Quote:

Two playing cards are drawn from a deck: and .

What is the probability that the third card drawn has a value

between the 5 and the Queen? (Note: suit does matter here.)

. . Not sure how the suit matters.

There are 50 cards remaining in the deck.

There are 24 cards**between**5 and Queen: four each of {6, 7, 8, 9, 10, J}

Therefore: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

If "between"__includes__5 and Q, among the 50 remaining cards,

. . there are 24 cards mentioned above, plus

Therefore: .