SOLUTION: two cards drawn in succession from a deck without replacement .what is the probability that both cards are greater than 3 and less than 9?

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Question 812373: two cards drawn in succession from a deck without replacement .what is the probability that both cards are greater than 3 and less than 9?
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
There are five "successful" ranks of cards 4,5,6,7,8 and each 
has 4 suits, So there are 5×4 or 20 "successful" cards in a deck.

The probability that the first card drawn is a "successful" card is 20 out of
52 or 20%2F52 or 5%2F13.

When a successful card is drawn, that leaves a deck of 51 cards that contains
19 successful cards.   

So 5%2F13ths of the times when a successful card is drawn the first time,
we will then draw a successful card the second time 19%2F51%7D%7Dths+of+those%0D%0A%7B%7B%7B5%2F13ths of the time.

Therefore 19%2F51sts of those 5%2F13ths of the time, we will draw
two successful cards in a row.

Answer 5%2F13×19%2F51 = 95%2F663  

If can be calculated C%2820%2C2%29%2FC%2852%2C2%29.

On a TI-83 or 84,  (20 nPr 2)/(52 nPr 2) or (20 nCr 2)/(52 nCr 2).

Edwin