Mammoth Memory

Probability and rolling 3 dice

 Always treat the rolling of three dice as 3 separate rolls. 

Because in reality that is what happens:

Rolling 3 dice, keep them separate

The dice will never land at the same time.

If you took an action camera and slowed down the landing of the three dice you would see they would each finish at different times.

Always treat the roll of three dice as three separate rolls. Because in reality that is what happens.

Example

If one throws three dice together on to the ground what is the probability of getting three 4s?

Use

`Probability\ =(The\  \n\umber\ of\ ways\ of \ ac\hiev\i\ng\ suc\ess)/(T\he\ \t\otal\ n\umber\ of \ possibl\e\ outcomes`

And

Always draw a probability tree.

`Roll\i\ng\ a\ 4\ on\ a\ dice,\ probability=1/6\ \overset{(Right)}{\underset{(All\ possibilites)}{text}} ]`

 

 

If you roll a 4 on all dices you still have a 1 in 6 chance, keep them separate

Probability three number 4s = `1/6\ times\1/6\ times1/6=1/(6\ times6\ times6)=1/(216)`

Probability = 1 in 216 chance  or = 0.004630

And if 1 = 100%             then 0.004630=0.46% chance

Answer:

If one throws three dice together on the ground the probability of getting three 4s is 0.004630.

More Info