Consider a dice game which has the following rules:

You start the game with $35$ dice and roll them simultaneously

Any dice which show a $5$ or $6$ are removed. If a dice shows a $1,$ you add one dice back in for your next roll.

The total of the remaining dice $(2,3,4)$ are then added together to give you a score for your first round using the following scoring system:

$2-2$ points

$3-3$ points

$4-1$ point deduction

If there was at least one $5$ removed, this will double your score for this round The same process is continued for the next round and your score is calculated again Continue rolling until all dice have been removed

Add the total score of each round together to give you a final score

Use MATLAB while$-$loop and if$-$else statements to create a script that calculates the total score that a single player will get in this game. You will need to generate random integers from $1-6$ to simulate rolling the dice. Use the skeleton code below to help you. $($Note that rolling a single dice $n$ times is acceptable as opposed to rolling n dice$)$

Clear all

Set: initial number of dice $($ie $35),$ total score $($ie o$)$

While the number of dice left is nonzero, do the following

$\%$ Start a new round

Set round score to zero, number of $5\text{'}$s and $6\text{'}$s and number of $1\text{'}$s also to o

For $I=1$ : number of dice

Roll the die, getting a score between $1$ and $6$

Count the number of $5\text{'}$s and $6\text{'}$s $($ie add $1$ to number of $5\text{'}$s and $6\text{'}$s$)$

Count the number of $1\text{'}$s $($ie add $1$ to number of $1\text{'}$s$)$

Count the number of $5\text{'}$s $($ie add $1$ to number of $5\text{'}$s$)$

Add score of this die, eg $2$ points if its $2,3$ points if $3,-1$ points if $4,$ to round score

End

If number of $5\text{'}$s is $>0,$ double round score

Add round score to total score

Subtract the number of $5\text{'}$s and $6\text{'}$s from number of dice

Add the number of $1\text{'}$s to the number of dice

End

Display total score