What is the probability of drawing 3 cards from a deck and drawing 3 diamonds?
My answer key says you should use the following method:
52C3= 22,100
13C3= 286
Answer: 286/22100
But I'm wondering why the following logic doesn't turn out the same answer:
52C3 = 22,100 (total ways to pick 3 cards)
13C1*12C1*11C1= 1716
Probability = 1716/22100
Using the 2nd method, you are simply choosing one card at a time rather than all 3 cards at once. What's the difference and why am I getting different answers?
My answer key says you should use the following method:
52C3= 22,100
13C3= 286
Answer: 286/22100
But I'm wondering why the following logic doesn't turn out the same answer:
52C3 = 22,100 (total ways to pick 3 cards)
13C1*12C1*11C1= 1716
Probability = 1716/22100
Using the 2nd method, you are simply choosing one card at a time rather than all 3 cards at once. What's the difference and why am I getting different answers?
