The cards in a standard deck of 52 have 13 different ranks, with ace=1, jack=11, queen=12, and king=13. You draw 3 cards from a deck in succession. what is the probability that the rank of each card is higher than the rank of the card that you drew before? Solution probability = 2/52.2/52.1/52+2/52.4/52.3/52+2/52.6/52.5/52.....+2/52.24/52.23/52 = 2(1.2+3.4+5.6....+23.34)/523 = 4(11.4.23+11.6+11+1)/523 = 0.031.

1. The cards in a standard deck of 52 have 13 different ranks, with ace=1, jack=11, queen=12, and
king=13. You draw 3 cards from a deck in succession. what is the probability that the rank of
each card is higher than the rank of the card that you drew before?
Solution
probability = 2/52.2/52.1/52+2/52.4/52.3/52+2/52.6/52.5/52.....+2/52.24/52.23/52
= 2(1.2+3.4+5.6....+23.34)/523
= 4(11.4.23+11.6+11+1)/523
= 0.031