Jude Bellingham is a football player who is negotiating for a $5-$year deal with Ni$$antepe Idman G$$c$.$ There are clauses in his contract related to the bonus scheme and penalties in this $5-$year contract with the details below:

No score in a single game, there is no bonus or penalty.

$1$ goal in a game, he earns $15\mathrm{.}000$ $

$2$ goals in a game, he earns $40\mathrm{.}000$$

$3$ goals $($hat$-$trick$)$ in a game, he earns $100\mathrm{.}000$ $

At the end of the season, if he scores more than or equal to $35$ goals, he earns an extra $500\mathrm{.}000$ $ bonus.

There is a penalty of $30\mathrm{.}000S$ for each game ended with a yellow card.

There is a penalty of $150\mathrm{.}000$$ for each game ended with a red card.

If a player gets a red card, he misses the next game.

If a player gets $4$ yellow cards in a season, he misses the next game.

Yellow and red cards are cleaned at the end of the season and there is no penalty transferred to the next years' games.

There are $38$ games in a season.

The probabilities are as below:

The probability that Bellingham is injured and misses a match is $5\%.$

The probability that Bellingham plays in a game by the coach's decision when he has no injury is $90\%.$

If he plays in the game, the following table shows the probabilities of the number of goals scored in a game:

$\backslash$table$[[$Number of goals,No goal,$1,2,3,4+$