Page 265 - Probability Demystified

256 INDEX

Game theory 187–197 Optimal strategy 193
Gauss, Carl F. 21, 175 Outcome 2
Gaussian distribution 175 equally likely 2
Geometric distribution 136–138
Graunt, John 221
Pascal, Blaise 20, 128
Pascal’s triangle 128–130
Hardy, G.H. 92 Payoff 187
Hypergeometric distribution 134–135 Payoff table 188
Huygens, Christian 21, 221 Pearson, Karl 175
Permutation 99
Independent events 57 Permutation rules 99–101
Poisson distribution 21, 139–140
Poisson, Simeon 21, 139–140
Kasparov, Garry 208
Population 12
Probability 1
Laplace, Pierre Simon 21, 175
classical 3–7
Law of averages 74, 75
empirical 11–13
Law of large numbers 15–16
subjective 16
Long run average 83
Probability distribution 115
Lotteries 145–146
continuous 115
discrete 115
Mean 83, 121, 148 Probability experiment 2
Median 148 Probability rules 5–7
Median future lifetime 217
Mendel, Gregor 92 Quetelet, Adolphe 175
Mode 149
Quincunx 176
Monte Carlo method 21, 178
Mortality table 211, 220–221
Multinomial distribution 132 Random numbers 178
Multiplication rules 56–70 Random variables 115
dependent events 57 Range 150
independent events 57 Relative frequency probability 12
Mutually exclusive events 44
Sample 12
Sample space 2, 22–36
Normal probability distribution 156–171
Simple event 3
definition 156
Simulation 177–184
properties 156
Slot machine 21
standard 161–171
Standard deviation 122–124, 151–152
Standard normal distribution 161–171
Odds 77–80 Statistics 147
against 78–80 Straight life insurance 215
in favor 78–80 Strategy 187