From a pack of 52 playing cards, three cards are drawn at random.Find the probability of drawing a king , a queen and jack.?
[Math] Playing Cards probability problem
card-gamesprobability
card-gamesprobability
From a pack of 52 playing cards, three cards are drawn at random.Find the probability of drawing a king , a queen and jack.?
Best Answer
probability of getting a king on your first draw is 4/52.
probability of getting a queen after a king on your second draw 4/51
jack after a king and a queen 4/50
So the probability of getting a king, then a jack, and then a queen is (4*4*4)/(50*51*52).
There are six orders that give you a king, a queen and a jack.
KQJ, KJQ, QKJ, QJK, JKQ, JQK
So, we take the original probability and multiply it by 6.
6*(4*4*4)/(50*51*52) = 16/5525 $\approx$ .29%