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Ejercicios de Probabilidad (11º Bach.)

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Ejercicios de Probabilidad (11º Bach.)

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Razonamiento probabilístico

Created by

Arleth Ondina Cordero Hernández
Arleth Ondina Cordero Hernández
Guatemala

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Ejercicios de Probabilidad (11º Bach.)
 

Ejercicios de Probabilidad (11º Bach.)Online version

Razonamiento probabilístico

by Arleth Ondina Cordero Hernández
1

Lanzas dos dados justos. ¿Probabilidad de que la suma sea 7?

2

En 52 cartas, ¿probabilidad de sacar un corazón o una carta figura?

3

Urna con 3 rojas y 2 azules. ¿Probabilidad de roja seguida de azul (sin reemplazo)?

4

En 3 extracciones con reemplazo de una urna con 4 rojas y 6 azules, ¿Pexactamente 2 rojas?

5

Una ruleta europea (37 números). ¿Prob de acertar un único número en un tirada?

6

Tres tiradas de dado; ¿probabilidad de al menos un 6?

7

En una urna con 4 rojas y 5 blancas, ¿prob de exactly una roja en dos extracciones sin reemplazo?

8

Una bolsa tiene 3 blancas y 2 negras. ¿P(la segunda es blanca dado que la primera fue negra)?

9

Saca 3 cartas sin reemplazo de un mazo; ¿P que las tres sean corazones?

10

Apostando 1$ a un número en ruleta (37 nums), si ganas 35$, EV?

Explicación

Hay 6 combinaciones favorables sobre 36 posibles.

P(heart)=13/52, P(figure)=12/52, intersección 3/52.

P(R) =3/5, P(A|R)=2/4; 3/5×1/2=3/10.

Modelo binomial n=3, p=4/10.

Solo hay 1 número ganador entre 37.

P(no 6)=(5/6)^3; 1-125/216=91/216.

Probabilidad = (4/9)(5/8)+(5/9)(4/8)=40/72=5/9.

Después de una negra quedan 3 blancas de 4 bolas.

P = (13/52)(12/51)(11/50).

EV = (1/37)×35 + (36/37)×(-1) = -1/37.

 
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