3 cards are chosen without replacement from a 52-card deck, what's the probability that the cards are in order of Ace, King, and Queen?
- llafferLv 73 weeks ago
The probability of drawing an ace from a full deck of cards is 4/52 or 1/13.
Once one card is removed, the probability of drawing one of the 4 kings from a deck of 51 cards is 4/51.
Once two cards are removed, the probability of drawing one of the 4 queens from a deck of 50 cards is 4/50 or 2/25.
The probability of all events to happen together, multiply the individual probabilities:
1/13 * 4/51 * 2/25 = 8/16575 or approx 0.000483 (rounded to 3SF)
- billrussell42Lv 73 weeks ago
first card: 4/52 = 1/13
second card: 4/51
third card: 4/50
overall: (1/13)(4/51)(4/50) = 0.0004827 approx.