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Alla [95]
3 years ago
8

4. Elena va a una fiesta pero no sabe que ponerse, así que lanza un moneda y un dado al

Mathematics
1 answer:
taurus [48]3 years ago
8 0

Answer:

  • <u>1/4</u>

Explanation:

Hola. Puesto que tu pregunta está en español, te responderé en el mismo lenguage.

Estas son las posibilidades dadas por la combinación moneda/dado

                                      Número de combinaciones

Moneda: prenda

    Cara: vestido                 1 de 2:          1/2

     Sello: falda                    1 de 2:          1/2

Dado: color

    Par: negro                      3 de 6:          3/6

    Impar: café                     3 de 6:         3/6

En total son 2 × 6 resultados: 12 (incluye resultados repetidos, no son todos diferentes entre sí)

¿Cuántas combinaciones tienen vestido y color negro?

  • P(Vestido∩negro) = ?

Es decir: moneda = cara y dado = par

  • Son 1 × 3 = 3.

Por tanto, la probabilidad de vestido negro es:

  • 3 de 12 = 3/12 = 1/4 ← respuesta

Hay otras formas de resolverlo. Por ejemplo;

Como los resultados de lanzar la moneda y el dado son independientes:

  • P(Vestido∩negro) = P(Vestido) × P(Negro)
  • P(Vestido) = 1/2
  • P(Negro) = 3/6 = 1/2
  • P(Vestido) × P(Negro) = 1/2 × 1/2 = 1/4 ← mismo resultado
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