Categorie: Tutti - counting - combinations - conditional - probability

da Kendyl LeGrand mancano 9 anni

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Flowchart for Chapter 4.

The text outlines various concepts and rules related to probability, including conditional probability, addition and multiplication rules, and different types of counting methods. Conditional probability is explained with the formula P(

Flowchart for Chapter 4.

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)