The Institute

Before getting to the end results a math lesson. There were two options presented for counting time spent in the maid outfit. There was a right answer to the question and unfortunately half of the clients missed it and the other half didn’t know why they had chosen it.

**Option 1:** For each die, divide by two, rounding up to the next integer. Multiply the two numbers together, giving you a number between 1 and 9 hours

| | 1 | 2 | 3 | 4 | 5 | 6 |
| —– | – | – | – | – | – | – |
| **1** | 1 | 1 | 2 | 2 | 3 | 3 |
| **2** | 1 | 1 | 2 | 2 | 3 | 3 |
| **3** | 2 | 2 | 4 | 4 | 6 | 6 |
| **4** | 2 | 2 | 4 | 4 | 6 | 6 |
| **5** | 3 | 3 | 6 | 6 | 9 | 9 |
| **6** | 3 | 3 | 6 | 6 | 9 | 9 |

**Option 2:** Add sum of both dice plus two, divide by two, rounding up to the next integer giving you a number between 2 and 7 hours.

| | 1 | 2 | 3 | 4 | 5 | 6 |
| —– | – | – | – | – | – | – |
| **1** | 2 | 3 | 3 | 4 | 4 | 5 |
| **2** | 3 | 3 | 4 | 4 | 5 | 5 |
| **3** | 3 | 4 | 4 | 5 | 5 | 6 |
| **4** | 4 | 4 | 5 | 5 | 6 | 6 |
| **5** | 4 | 5 | 5 | 6 | 6 | 7 |
| **6** | 5 | 5 | 6 | 6 | 7 | 7 |

Once you have the entire table, since each cell is equally likely a simple average of all the values in the table will tell you which table has the lower expected time in the maid uniform. Option 1 averages out to 4.0 hours while Option 2 has an average of 4.75 hours. Though it has the opportunity to be longer, option 1 is definitely the way to go.

The totals on the activities was fairly easy to determine:

| Activity | Value | sissy billy | Maggie Rae | Stacee Skye | Pieclown |
| :—————————————-: | :—: | :———: | :——–: | :——-: | :——: |
| Scrubbing the Floor | 1 | – | 1 | 1 | 1 |
| Cleaning the Toilet | 1 | 1 | 1 | 1 | 1 |
| Sweeping | 1 | 1 | 1 | 1 | 1 |
| Picking Up the Yard | 6 | – | – | – | 6 |
| Servicing the Man/Lady of the House | 4 | – | – | – | – |
| Cleaning Windows | 2 | – | 2 | 2 | – |
| Shopping at the Market | 10 | – | – | – | – |
| Serving Drinks | 1 | 1 | 1 | 1 | – |
| Caned/paddled by the Man/Lady of the House | 4 | – | 4 | – | – |
| Drawing a Bath | 1 | 1 | – | 1 | 1 |
| Taking the Trash Outside | 6 | – | – | 6 | 6 |
| Tied up by the Man/Lady of the House | 2 | – | – | – | – |
| Punished with a Mouth-soaping (Required) | 1 | 1 | 1 | 1 | 1 |
| Taking a Smoking Break Outside | 2 | – | – | 2 | 2 |
| **Totals** | **41**| **5** | **11** | **16** | **19** |

The only thing left to check is that the assignment was done properly and all rules were followed in the posting. Fortunately, for three out of the four clients completing the activity, this was not a problem.

Unfortunately, for [Pieclown][], the results were not as good. For the reporting of her assignment, she missed the [rule][r-r] that “All size e and t pictures must be linked directly to a size s picture (so it will expand when clicked)”. Hers do not. This, though, is forgivable. Failure to do the assignment in the proper order is not. The [initial assignment][ass] stated “Once you are dressed and have your plus ups decided, it will be determined how long your assignment will be”. Determining how much time you had and then deciding on the plus ups, as her post indicates that she did, is clearly not allowed. (On the off chance that the assignment was done in the proper order, the the assignment falls afoul of the rule “An objective is not considered completed until the results have been reported in all required manners.” If you cannot properly explain what you did, it wasn’t done properly.) Though I could use these reasons in order to fail pieclown, I am instead marking this assignment complete, though with her points total reduced to zero.

The final results of the assignment, in order of place are:

* [Stacee Skye][ss-p] (16 points)
* [Maggie Rae][mr-p] (11 points)
* [sissy billy][sb-p] (5 points)
* [Pieclown][pc-p] (0 points)

Stacee Skye’s surprise for having the highest point total will be announced at a late date.

[r-r]: http://institute.cdpunishment.com/about/rules_and_regulations
[ass]: http://institute.cdpunishment.com/2011/03/in_a_row
[sb-p]: http://institute.cdpunishment.com/2011/04/in_a_row_-_sissy_billys_results
[pc-p]: http://institute.cdpunishment.com/2011/04/in_a_row_-_pieclowns_results
[ss-p]: http://institute.cdpunishment.com/2011/04/in_a_row_-_stacee_skyes_results
[mr-p]: http://institute.cdpunishment.com/2011/04/in_a_row_-_maggie_raes_results

[Pieclown]: http://institute.cdpunishment.com/profiles/pieclown