You take the four Aces, four 2's, and four 3's from a standard deck of 52 cards, forming a set of 12 cards. You then draw three cards at random. What is the probability that you get an Ace, a 2, and a 3?
+1823
You take the four Aces, four 2's, and four 3's from a standard deck of 52 cards, forming a set of 12 cards. You then draw three cards at random. What is the probability that you get an Ace, a 2, and a 3?
First card can be anything probability 12 / 12 or 1 / 1
For example only, say it's a 2
Second card can one of the
remaining eight appropriate cards probability 8 / 11
For example only, either a A or a 3,
so let's just say it's an Ace
Third card must be one of the
remaining four appropriate cards probability 4 / 10
For example only, it has to be a 3
Probability of all three happening,
multiply the individual probabilities (1/1) • (8/11) • (4/10) = 32/110
32/110 reduces to 16 / 55
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