SOLUTION: Two cards are drawn in succession in a desk w/o replacement. What is the probability that both cards are greater than 2 and less than 8?

Question 541762: Two cards are drawn in succession in a desk w/o replacement. What is the probability that both cards are greater than 2 and less than 8?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The cards which are >2 and <8 are: 3,4,5,6 and 7
Since there are 4 suits, there are a total of 20 cards which are between 3 and 7
For the 1st draw, the probability is 20/52
Since the card is not replaced, the probability for the 2nd draw is 19/51
The probability of both is
P(both >2 and <8) = 20/52*19/51 = 0.143
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