# Successive odds of a high or low card on Play your cards right(Card Sharks)

I am looking for a way to calculate the high or low odds for each card turn in a game of "Play your cards right". You can play this game and see what I mean here

Basically, there are several rows of 3 cards face down, the bottom row has 4 cards. The first card of the bottom row is turned over, and you have to guess if the next card will be higher or lower. If you guess correctly, you then guess if the next card will be higher or lower and so on. When you reach the last card in that row, it is moved to the first spot of the next row up, and you go through the same guessing process again.

As you can see from the image, the higher and lower buttons have the amount you can win for each guess.

They are not always the same for the same card, for example "Jack" in the image above has you winning 3.30 for higher, but if I was to encounter the Jack further in the game, like the 5th card, the amount for higher would be different.

The rest of the rules are Aces are high, and a draw loses

I would like to know how these odds are calculated for a game of 16 cards. Also does anyone know what the house edge is on a game like this?

There are 51 unseen cards, and the next card could be any of them with equal probability. There are thirty-six cards lower than a jack, twelve higher, and three equal. Thus, $$P(lower) = 36/51\\P(higher)=12/51\\P(same)=3/51.$$