After spending months meditating and contemplating her existence, Rey Skywalker decided

it was to time to take a walk $"$on the dark side". She headed to Mos Eisley, a large spaceport

on the planet Tatooine located on the Great Mesra Plateau.

After having a few drinks at the Mos Eisley Cantina, she headed to one of the casinos. She

decided to test her jedi skills at one of the dice games.

She found a game where two dice are rolled, and players bet on the outcome $-$ the sum of

the two dice. These are the price to play and fair payoffs:

Rey discovered that if she waived her hand as the dice rolled, she could change the outcome

in her favor. Unfortunately, her jedi skills were still "awakening". Some of the time, the

hand$-$waiving had no effect. Otherwise, it resulted in exactly what she wanted. Further, she

could only focus on one of the two dice. The second die would have a fair outcome $(1$ thru

$6$ equally likely$).$

Experiments showed that her jedi powers worked $60\%$ of the time. That is$,60\%$ of the time,

waiving her hand resulted in exactly what she wanted. $40\%$ of time, it had no effect on the

outcome.

Her plan was simple $--$ waive her hand and change the first die to a $6.$ If it worked, the first

die would be a $6.$ If it didn't, all of the outcomes $(1$ thru $6)$ on the first die were just as likely.

She would take a long bet on $14$ and a short bet on $2.$

What is the expected payout to Rey's strategy? Answer in dollars and cents, to the nearest

cent, with no punctuation other than the decimal place. For example, if your answer is

$$12\mathrm{.}338,$ enter $"12\mathrm{.}34".$ Note that Canvas will remove trailing zeros after the decimal place

from answers.