exercise:B2a45d5f2c: Difference between revisions
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Prove that, if <math>A_1 | Prove that, if <math>A_1, A_2, \ldots,A_n</math> are independent events defined on a sample space <math>\Omega</math> and if <math>0 < P(A_j) < 1</math> for all <math>j</math>, then | ||
<math>\Omega</math> must have at least <math>2^n</math> points. | <math>\Omega</math> must have at least <math>2^n</math> points. | ||
Latest revision as of 00:14, 13 June 2024
Prove that, if [math]A_1, A_2, \ldots,A_n[/math] are independent events defined on a sample space [math]\Omega[/math] and if [math]0 \lt P(A_j) \lt 1[/math] for all [math]j[/math], then [math]\Omega[/math] must have at least [math]2^n[/math] points.