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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
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
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Yes now I got using this method. Still didn't understand the visualisation method.
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
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Did u do 4!/4!, 4!/3!, 4!/2!2! And 4!/3! for each of these?
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
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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
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
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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