# Open Face Solutions - Quiz #3 Answers

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Fantasy Land is valued at 7.5 points.

Here are your Quiz 3 solutions:

## Question 1

Kc Front, 7s Back +.194 Kc Front, 7s Middle -.308 7s Back, 2d Front -.864 Kc Middle, 7s Back -2.097 7s Back, 2d Middle -2.097 I found this answer surprising, given how many dead cards we have for a flush and for 2-pair+. But the answer is, we are still suppose to gamble. With exactly 4 outs to a flush and 4 outs to 2-pair+ middle, we have to decide which one to complete. You have to use a little "lesser known" logic for this one. We have to ask ourselves: If I fill up the middle now, can I draw to a stronger hand in the back? And, If I fill up the back now, can I draw to a stronger hand in the middle? Once you ask those questions, it is easy to see that leaving the middle open to hit trips, or even a T (which beats 8s and 2s if they hit that) is better than leaving the back open to hit equivalently the same strength flush.

## Question 2

Kc Front, 7s Middle +1.707 Kc Front, 7s Back +.194 7s Back, 2d Front -.864 Kc Middle, 7s Back -2.097 7s Back, 2d Middle -2.097 If you got the first one right, you probably got this right as well. Here we just wanted to test to see the value of that 1 extra flush card, and see if 1 additional out is worth that "trips potential" bonus we talked about in the previous hand. Its a clear yes, 1 out is more important than a small chance at 2 points royalties.

## Question 3

8 8 Front -10.461 8 Front, As Back -10.873 8 Back, As Front -11.057 8 Front, As Front -11.389 8 Front, 8 Back -11.592 The real question here is: Do I play a pocket pair up Front now, a 2 out live card in the back now, or a 2 out to FantasyLand up Front now and a dead card in the back? There are a lot of factors that contribute to the final answer. Like how many live aces there are, how many royalties you get for the J, the likelihood of hitting a running pair TT+, and even the value of having A high up Front if you brick out.