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.)
Hello, teekayoh!
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: .