Dice Problem #2 defines some terms and then proceeds with an
excellent dice throwing simulation. Read the text and do the
simulation.
When you click on the Roll 'em button, you will see
the die cast and the number of dots showing. On the right side, a
graph constantly updates your results it will change as you keep
rolling the dice. You can also change the number of dice thrown with
the control panel in the center of the window.
The simulation keeps track of a particular event: that the sum of the two dice
"thrown" is 7. There are four boxes :
N, or the number of times you've the sum of numbers of
thrown the dice the dice you rolled.
The number of times frequency you've the relative frequency or
thrown a 7 the sum of the two dice experimental probability
you have so far determined
of getting 7.
Underneath the four boxes are pictures of the dice you've thrown.
Roll the dice several times over 30 times, say.
What is the theoretical probability of getting 7?
What is your relative frequency after your 30 or so experiments?