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2H1T

Page history last edited by LFS 13 years, 11 months ago

Home > Probability -> 2 Heads 1 Tails


3 Coin InterActivity: 2H1T     
Question: You are flipping 3 coins. What is the probability that you will get 2 heads and 1 tails?
 
YouTube Mathcasts or ScreenCast Mathcasts (if YT is blocked)
The Math The Applet

YouTube plugin error

YouTube plugin error

 

 

Scratch InterActivity Directions for InterActivity 

1. Click on Flip and watch the animation and check "the numbers" to see that the you understand what is being counted.

2. Calculate the theoretical probability in the question. 

3. Slide FLIP slider to 10 or 100 or 500 ! Click on Flip and check "the numbers" to see if your theoretical probability matches the empirical value.

4. Run the animation 2000-5000 times; the empirical value should get closer to the theoretical value.

5. Click on the Green Flag to reset.

 

Download: Scratch file

 
Applet Discussion and Good Questions Worksheet

You can use this scratch file to do any 3 coin toss experiment that you want.

  • Download: Scratch file
  • Click on the FLIP sprite.
    • The variables are in the Flag script.
    • The experiment is in the Calculate script.
  • The variable h1=0 if the first coin is a head and h1=1 if the first coin is a tail. Analogous h2 and h3.
    • For example, this means that we have 2 Heads and 1 Tails if h1+h2+h3=1.
  • For this experiment, we defined 2 "new" variables Total 2H1T and 2H1T/Total.
    • Total 2H1T counts the number of tosses with 2H1T by checking if h1+h2+h3=1
    • 2H1T/Total  calculates the percentage (as a decimal) of Total 2H1T divided by Total flips.
  •  That is it.
  • To see another example using 3 Coin Toss, see 2H1Tgiven1H1T which calculates the conditional probability of getting 2 Heads and 1 Tails if we are given that the 3 coins are not the same (1H1T).
 
 
Metadata (includes links for downloads)
 
Global Probability
Brief InterActivity-Simulator for 3 Coin Toss - Success=2H1T
Grade 8th and up
Strand Probability
Standard AP_PS_1   ACT_PS_24-27
Keywords probability, theoretical, empirical, 3 coins, heads, tails, scratch, dynamic, freeware, applet, offline, online
Worksheet Worksheet with Problems and Questions 
Credits coin flip by H.Wilson  
Online Online Activity 
Download Downloads: Activity Projector Versions and Completely Offline .
Author LFS - contact
Type Freeware - Available for Offline and Online Use - Translatable (html)
Use Requires sunJava player
 

Related Topics: Conditional Probability -> 2H1T | 1H1T


Home > Probability -> 2 Heads 1 Tails

probability, theoretical, empirical, 3 coins, heads, tails, scratch, application, geometry, program

 

 

 

 

 

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