Math Problem Statement

Se realizan 5 sorteos independientes entre sí del 0 al 9. Yo elijo X cantidad de números diferentes entre si antes de los sorteos. Quiero saber mis chances de acertar en al menos uno, dos, tres, cuatro y cinco sorteos, para los casos en que X sea igual a 1, 2, 3, 4, 5, 6, 7, 8, y 9. Dame el resumen directamente en forma de tabla.

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Combinatorics
Independent Events

Formulas

P(at least 1 success) = 1 - (probability of no success)^number of trials
P(k successes) = (combination formula) * (probability of success)^k * (probability of failure)^(n-k)

Theorems

Binomial Theorem
Law of Total Probability

Suitable Grade Level

Grades 10-12