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or a default 60% chance when there's no additional factors involved.
or a default 60% chance when there's no additional factors involved.
−<math> \text{Success} = \left( \frac{ 60 }{60 + 40}\right) \times 100 = \left( \frac{ 60}{ 100}\right) \times 100 = 60.0% </math>
+<math> \text{Success} = \left( \frac{ 60 }{60 + 40 }\right) \times 100 = \left( \frac{ 60 }{ 100 }\right) \times 100 = 60.0\%</math>
For instance, a child with the "Genius" congenital trait adds 20 to the Success Factor. Under this circumstance, the Genius trait increases the odds of a successful Education Roll from 60% to 66.6%. The example math is provided below.
For instance, a child with the "Genius" congenital trait adds 20 to the Success Factor. Under this circumstance, the Genius trait increases the odds of a successful Education Roll from 60% to 66.6%. The example math is provided below.
−<math> \text{Success} = \left( \frac{ 60 + 20 }{100 + 20 }\right) \times 100 = \left( \frac{ 80 }{ 120 }\right) \times 100 = 66.6% </math>
+<math> \text{Success} = \left( \frac{ 60 + 20 }{100 + 20 }\right) \times 100 = \left( \frac{ 80 }{ 120 }\right) \times 100 = 66.6\% </math>
A guardian with the intelligence trait of Genius provides a Success Factor of 15. If a genius child (20) is being educated by a genius guardian (15) the chances of a successful Education Roll becomes 70.4%, with the example math provided below.
A guardian with the intelligence trait of Genius provides a Success Factor of 15. If a genius child (20) is being educated by a genius guardian (15) the chances of a successful Education Roll becomes 70.4%, with the example math provided below.
−<math> \text{Success} = \left( \frac{ 60 + 20 + 15 }{ 100 + 20 + 15 }\right) \times 100 = \left( \frac{ 95 }{ 135 }\right) \times 100 = 70.4% </math>
+<math> \text{Success} = \left( \frac{ 60 + 20 + 15 }{ 100 + 20 + 15 }\right) \times 100 = \left( \frac{ 95 }{ 135 }\right) \times 100 = 70.4\% </math>
At the age of 3 each child is assigned a Childhood Trait. If the child's Focus does not match the Trait there is a factor of 20 added to the Failure Factor. For instance, if a child has the trait "Bossy" and the focus is Diplomacy, the child would receive the factor of 20 to Failure Factor. In this circumstance, the chance of a successful Education Roll drops to 50%.
At the age of 3 each child is assigned a Childhood Trait. If the child's Focus does not match the Trait there is a factor of 20 added to the Failure Factor. For instance, if a child has the trait "Bossy" and the focus is Diplomacy, the child would receive the factor of 20 to Failure Factor. In this circumstance, the chance of a successful Education Roll drops to 50%.
−<math> \text{Success} = \left( \frac{ 60 }{ 100 + 20 }\right) \times 100 = \left( \frac{ 60 }{ 120 }\right) \times 100 = 50% </math>
+<math> \text{Success} = \left( \frac{ 60 }{ 100 + 20 }\right) \times 100 = \left( \frac{ 60 }{ 120 }\right) \times 100 = 50\% </math>
The positive Traits a child and guardian can have that increase the Success Factor are provided in the chart below.
The positive Traits a child and guardian can have that increase the Success Factor are provided in the chart below.