Flowchart for Chapter 4.

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Probability Map

Counting

Combinations Rule

nCr

Permutations When Items are Identical

n! / n1! * n2! * nk!

Permutations When Items are Different

nPr

Factoral Rule

n!= 1*2*...n

Fundamental Rule

P(E)= number of outcomes with E/ total number of outcomes

Classical Approach to Probability

s/n

P(A)= number of ways A occurs/ number of different simple events

Conditional Probability

P(B/A)= P(A and B)/P(A)

Complementary Events Rule

P(A) +P(À)= 1, P(A)= 1-P(À), P(À)= 1-P(A)

Probability of Atleast One

P(atleast 1__)= 1-P(o___)

Relative Frequency Approximation of Probability

P(A)= Number of times A occurred/ number of times the procedure was repeated

Multiplication Rule "AND"

Dependent

P(A and B)= P(A) * P(B) - P(B/A)

Independent

P(A and B)= P(A) * P(B)

Addition Rule "OR"

Non Mutually Exclusive

P(A or B)= P(A) + P(B)- P(A and B)

Mutually Exclusive

P(A or B)= P(A) + P(B)