TRUE OR FALSE? If a matrix is diagonalizable, then the algebraic multiplicity of each of its eigenvalues X must equal the geometric multiplicity of X.

Probability, Random Variables and Sampling Distributions Probability Terminology Experiment – a process with observable outcomes Sample Space – the set of all possible outcomes for an experiment Event – Any subset of the sample space Example – A Dice Game has an observable outcome of sums. *Above is a Sample Space* ~The Number of Elements in event E is denoted by n(E). In the example the n(S) = 36. ~Assuming each outcome is likely, then the probability of event E is expressed as follows: Example – Another Dice Game with winning and nonwinning probabilities *The Highlighted sets are the winning sets* ~The probability of losing is higher than the probability of winning, making the game unfair. ~Probabilities range in value