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Total outcome 6^4

The outcome will be even, when all the outcomes are even or all the outcomes are odd.

So you have to write down all the possibilities first like (1,1,1,1), (2,2,2,2)...etc
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Quote:

i am assuming here that the what ever number is face up when the 4 dice is rolled when added gives an even sum
so we can assume these possibilities
OOOO - 1 WAY (AND EVEN WHEN ADDED )
EOOO - 4 WAYS
EEOO - 6 WAYS (AND EVEN WHEN ADDED )
EEEO - 4 WAYS
EEEE - 1 WAY (AND EVEN WHEN ADDED )

So the probability is 1+6+1 / 1+4+6+4+1 = 8/16 = 1/2
Hi
Isn’t the total outcome 6^4?

Please explain
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Quote:

do you want me to explain this ?
Yes please 🙇🏻‍♂️
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Quote:

yes you can calculate it that way then the working will be like 3^4 + 3^4 + 6* 3^4 /6^4 = 1/2
but the way i did was through visualization and not through pnc
Yes now I got using this method. Still didn't understand the visualisation method.
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Quote:

i am assuming here that the what ever number is face up when the 4 dice is rolled when added gives an even sum
so we can assume these possibilities
OOOO - 1 WAY (AND EVEN WHEN ADDED )
EOOO - 4 WAYS
EEOO - 6 WAYS (AND EVEN WHEN ADDED )
EEEO - 4 WAYS
EEEE - 1 WAY (AND EVEN WHEN ADDED )

So the probability is 1+6+1 / 1+4+6+4+1 = 8/16 = 1/2
Did u do 4!/4!, 4!/3!, 4!/2!2! And 4!/3! for each of these?
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Quote:

ok so we can take one of the possibility which is OOOO - here the O can take 3 values (1,3,5) so it will be 3^4
same thing for EEEE - E will take any one of these 3 values (2,4,6) so it will be 3^4
now we have the 3rd possibility which is EEOO - 4! /2!2! = 6 and each E and O can have 3 values so the total for this case is 6 * 3^2 *3^2 = 6 *3^4
and as we discussed the total possibility is 6^4
So this will be the long method where u write each outcome.

The visualisation method involves the number of ways we can get the outcome irrespective of the number
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Quote:

the main thing was i didn't consider the values because it doesn't matter the end result was it must add up to an even number so the working was small but here it will take some time because we are taking the values also into consideration
Yes visualisation method was easier
Thanks!

I also read that no matter the number of cubes, the number of odd or even outcomes will be same as 1/2
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