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	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
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. This symbol represents two events that occur at the same time: A and B. (9 in diagram above) — 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(A 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)

Ex
Compound Interest Formula
e=2.718281828 is an approximation since e is an irrational number.