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Probability: If I draw 5 cards from 52, what's the chance i have 3 Aces?
If I were to draw 5 cards from a deck of 52. What is the chance of having 3 aces on my hand?
2 Answers
- paramvenuLv 79 years agoFavorite Answer
Required probability = 4C3*48C2 / 52C5
= 4*1128 / 2598960
= 0.0017361
- ?Lv 79 years ago
4choose3 * 48choose2 / 52choose5
4choose3 (means you have 4 possible aces but can choose any 3 of the 4)
48choose2 (means you have 48 possible cards not aces and you can choose any 2 of the 48)
4choose3 = 4*3*2*1/(3*2*1) = 4
48choose2 = 48*47 / (2*1) = 24*47
52choose5 = 52*51*50*49*48 / (5*4*3*2*1)
Answer: (4 * 24 * 47)*(5*4*3*2*1) / (52 * 51 * 50 * 49 * 48)
