Slides Chapter 1. Measure Theory and Probability

1.5. OTHER DEFINITIONS OF PROBABILITY
Selección de mujeres y anotación de su peso
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Frec. rel. límite
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Intervalo de pesos
Definition 1.23 (Frequentist probability)
Thefrequentist definition of probability ofaneventAisthelimit
of the relative frequency of this event, when we let the number of
repetitions of the random experiment grow to infinity.
If the experiment is repeated n times, and n A is the number of
repetitions in which A occurs, then the probability of A is
Problems
n A
P(A) = lim
n→∞ n .
1. Check if the Laplace definition of probability satisfies the axioms
of Kolmogoroff.
2. Check if the frequentist definition of probability satisfies the
axioms of Kolmogoroff.
ISABEL MOLINA 23