Probabilidad

Pablo Montero, Mar 16, 2021

Probabilidad

Table of Contents

  1. Problema del Monty Hall
    1. Monty Hall
    2. Monty Hall 60
    3. Monty Hall 100 puertas
  2. Dados no transitivos
    1. Dados intransitivos
  3. Miscelánea: ley de los grandes números, espacios de probab. continuos...
    1. Copia de Ruleta
    2. Spinner
    3. Throwing Darts
    4. Copia de Copia de Dado cargado
    5. Carrera de caballos
    6. Copia de Ley de los Grandes Números con dos dados
    7. Probabilidad con monedas
    8. Copia de Simulador Máquina de Galton
    9. Plinko
    10. Copia de Binomial a Normal
    11. To the Right of the Queen of Hearts?
  4. Rock Paper Scissors type games
    1. Rock Paper Scissors
    2. Smart Rock Paper Scissors
    3. Smart Rock Paper Scissors Lizard Spock
    4. Rock Paper Scissors Fire Water Air Sponge
    5. Rock Paper Scissors
  5. March Randomness
    1. Flipping Coins
    2. Roll 6 Dice
    3. Plinko
    4. 9 Coins
    5. March Randomness #1
    6. March Randomness #2
    7. March Randomness #3
    8. March Randomness #4
    9. March Randomness #5
    10. March Randomness #6
    11. March Randomness #7
    12. March Randomness #8
    13. March Randomness #9
    14. March Randomness #10
    15. March Randomness #11
    16. March Randomness #12
    17. March Randomness #13
    18. March Randomness #14
    19. March Randomness #15
    20. March Randomness #16
  6. Probabilidad de formar un triángulo.
    1. Triangle Inequality

1.

Problema del Monty Hall

  • 1. Monty Hall
  • 2. Monty Hall 60
  • 3. Monty Hall 100 puertas

1.1.

Monty Hall

– Álvaro Fernández y Pablo Triviño

1.2.

–

1.3.

–

2.

Dados no transitivos

  • 1. Dados intransitivos

2.1.

Dados intransitivos

– Álvaro Fernández y Pablo Triviño

3.

Miscelánea: ley de los grandes números, espacios de probab. continuos...

  • 1. Copia de Ruleta
  • 2. Spinner
  • 3. Throwing Darts
  • 4. Copia de Copia de Dado cargado
  • 5. Carrera de caballos
  • 6. Copia de Ley de los Grandes Números con dos dados
  • 7. Probabilidad con monedas
  • 8. Copia de Simulador Máquina de Galton
  • 9. Plinko
  • 10. Copia de Binomial a Normal
  • 11. To the Right of the Queen of Hearts?

3.1.

Copia de Ruleta

– Pablo Montero, Laura del Río

3.2.

–

3.3.

–

3.4.

–

3.5.

–

3.6.

–

3.7.

–

3.8.

–

3.9.

–

3.10.

–

3.11.

–

4.

Rock Paper Scissors type games

Rock Paper Scissors Type Games

  • 1. Rock Paper Scissors
  • 2. Smart Rock Paper Scissors
  • 3. Smart Rock Paper Scissors Lizard Spock
  • 4. Rock Paper Scissors Fire Water Air Sponge
  • 5. Rock Paper Scissors

4.1.

Rock Paper Scissors

Begin by setting the probabilities for the "computer" to play rock, paper, or scissors by dragging the green point inside the triangle. [br][br]Click on one of the rock, paper, or scissors on the left side of the screen to make your play.[br][br]The win-lose-tie counts will be undated automatically. The "Computer" number is what is randomly selected for the computer to play. Scissors is played when the P(scissors) is less than this number, Rock is played when 1 – P(rock) is greater than this number, and paper is played the rest of the time.
– Steve Phelps

4.2.

–

4.3.

–

4.4.

–

4.5.

–

5.

March Randomness

Me gustaría agradecer a Steve Phelps estos materiales compartidos, que podéis encontrar en su perfil. [url]https://www.geogebra.org/m/zxnrgd2u[/url] [url]https://www.geogebra.org/u/stevephelps[/url] [url]https://thisisstatistics.org/march-randomness/ [/url] Teams use their probability intuition to predict the outcome of simple random experiments that use dice, balls, cards, and coins, placing StatCoin bets on their predictions to stay in play and take the lead. The competition offers separate categories for high school students and college students — no advanced math or stats required. These activities are organized following the Intuition, Simulation, Calculation path. Kids should share what their "gut" tells them, and then do a couple of digital experiments to get a feel for what is happening. They should revise or reconsider their intuition before moving on to a Simulation. The simulation with either confirm or contradict the student's intuition. By now, the students should be able to follow a calculation of the probability, or at least desccribe what they would like to compute if they had some help.

  • 1. Flipping Coins
  • 2. Roll 6 Dice
  • 3. Plinko
  • 4. 9 Coins
  • 5. March Randomness #1
  • 6. March Randomness #2
  • 7. March Randomness #3
  • 8. March Randomness #4
  • 9. March Randomness #5
  • 10. March Randomness #6
  • 11. March Randomness #7
  • 12. March Randomness #8
  • 13. March Randomness #9
  • 14. March Randomness #10
  • 15. March Randomness #11
  • 16. March Randomness #12
  • 17. March Randomness #13
  • 18. March Randomness #14
  • 19. March Randomness #15
  • 20. March Randomness #16

5.1.

Flipping Coins

Flip 5 coins 100 times. Record the number of heads.
Flip 10 coins 100 times. Record the number of heads.
Flip 20 coins 100 times. Record the number of heads.
Flip 100 coins 100 times. Record the number of heads.
– Steve Phelps

5.2.

–

5.3.

–

5.4.

–

5.5.

–

5.6.

–

5.7.

–

5.8.

–

5.9.

–

5.10.

–

5.11.

–

5.12.

–

5.13.

–

5.14.

–

5.15.

–

5.16.

–

5.17.

–

5.18.

–

5.19.

–

5.20.

–

6.

Probabilidad de formar un triángulo.

Los lados de un triángulo verifican que cualquiera de ellos tiene longitud menor que la suma de los otros dos y mayor que su diferencia. (Oposiciones, Febrero 2017, tema 39, pág. 7). La probabilidad de formar un triángulo con dos puntos aleatorios de un segmento es 1/4, demostrado en el cuaderno amarillo el 12-5-2017, act 4 (Temas 66 y 68).

  • 1. Triangle Inequality

6.1.

Triangle Inequality

[size=150][size=200]Take a stick and randomly break it in two places. You now have three pieces of a stick. How likely is it that the three pieces will form a triangle?[/size][/size]
– Steve Phelps

Information