Math Formula Sheet (Mr. Thompson)

The Point - Slope form of the line which has a slope of m and which passes through the point (x1, y1) is:

Probability Formulas

Probability=Number in Success Set/Sample Space

  • where P(A) represents the probability that event A will happen
  • The total number of possible outcomes is also known as the sample space
Conditional Probability P(A|B) = the probability that A occurs given that B has occurred
Venn Diagram of Conditional Probality
OR = +   (For Disjoint , or Mutually Exclusive events) P(A or B) = P(A) + P(B)
AND = *  (For Independent events) P(A and B) = P(A) * P(B)
Union and Intersection The addition rule and multiplication rule often are expressed with symbols:

   Intersection — Intersection. This symbol represents two events that occur at the same time: A and B.  (9 in diagram above)
   Union — Union. This symbol means that for two events, one or the other or both occur: A or B. (7, 9, 12 in the diagram above)

Using these symbols, the addition rule and multiplication rule can be written as:

P(A or B) = P(A U B) = P(A) + P(B)
P(A and B) = P(AIntersection B) = P(A) * P(B)
More Generally, If the events A and B are not Mutually Exclusive, ie there is "overlap": P(A or B) = P(A) + P(B) - P(A and B)
If A and B are NOT Independent Events: P(A and B) = P(A) * P(B|A)
P(A and B) = P(B) * P(A|B)

Compound Interest Formula CompoundInterestFormula.jpg
is an approximation since e is an irrational number.