You are playing a solitaire game in which you are dealt three cards without replacement from a simplified deck of 10 cards (marked 1 through 10). You win if one of your cards is a 10 or if all of your cards are odd. How many winning hands are there if different orders are different hands?

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more question:  

Someone rolls a fair six-sided die and you win points equal to the number shown.
What is the expected number of points after one roll?