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put this solution on YOUR website! Two cards drawn in succession from a standard deck of cards without replacement.What is the prbability that both cards are greater than 2 and less than 9?
The probability of drawing the first card as one of these 24
3♥ 4♥ 5♥ 6♥ 7♥ 8♥
3♦ 4♦ 5♦ 6♦ 7♦ 8♦
3♠ 4♠ 5♠ 6♠ 7♠ 8♠
3♣ 4♣ 5♣ 6♣ 7♣ 8♣
out of these 52
A♥ 2♥ 3♥ 4♥ 5♥ 6♥ 7♥ 8♥ 9♥ 10♥ J♥ Q♥ K♥
A♦ 2♦ 3♦ 4♦ 5♦ 6♦ 7♦ 8♦ 9♦ 10♦ J♦ Q♦ K♦
A♠ 2♠ 3♠ 4♠ 5♠ 6♠ 7♠ 8♠ 9♠ 10♠ J♠ Q♠ K♠
A♣ 2♣ 3♣ 4♣ 5♣ 6♣ 7♣ 8♣ 9♣ 10♣ J♣ Q♣ K♣
is 24/52.
Then having done that, we would draw the second one from 23 out of 51,
because the one we drew was not replaced, so that's 23/51.
So we multiply (24/52)*(23/51) = 46/221
Edwin