River decision

[milesdyson]

you can see 7 cards. you can't see 45 cards. within those 45 cards there are 2 remaining kings. there are 5 players with you on the river - 10 of the 45 unseen cards are in their hands.

the probability that you deal 10 of those 45 cards without one of those 2 kings showing up is

(43!/33!)/(45!/35!) = 60%

i don't know what this means other than if they had random hands, 40% of the time someone would have a king.