Sample Test Correction Explanation:
The answer is 52*51*50 because there are 52 cards I could pick for the first card, 51 choices for the second, and 49 choices for the last one, I am not putting them back, that's why I have one less choice for each card.
10 choose 2 is the number of ways I can choose 2 marbles out of a group of 10 marbles. That's the number in the sample space (denominator). Since there are 5 blue marbles, there are 5 choose 2 ways I can choose 2 blue marbles out of a group of 5. That's the number of ways I can achieve the event, so it goes in the numerator. The fraction is the probability.
10 choose 2 is the number of ways I can choose 2 marbles out of a group of 10 marbles. That's the number in the sample space (denominator). Since there are 5 blue marbles, there are 5 choose 2 ways I can choose 2 blue marbles out of a group of 5. That's the number of ways I can achieve the event, so it goes in the numerator. The fraction is the probability.
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