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Smart people required. I have a probability/ maths question that is boggling my little brain. Any help would be great. I'm sure the answer is pretty simple I just can't grasp it.
So, 3 dice. Each die face has a single colour; red, blue, green, pink, purple, orange, instead of a number of pips. All 3 dice are rolled to get a colour combination result.
I stacked coloured blocks (digiatally) to work out all possible combinations and came up with the following:
Total combinations: 54
3 of the same: 6
2 of the same: 30
None the same: 18
Can anyone confirm this is correct without going through the labourious block stacking prcoccess I went through, perhaps by using a formula and/ or computer program?
And secondly, what are the percentages on each of these amounts? Is it as simple as finding a normal percentage; 3 of the same: 6 as a percentage of 54 = ~11%?
To take it further, though this might be pushing it a bit, is there a way of working out the percentage of getting a particular combination, say red, green & blue without using anything other than basic percentage mathamatics, that is to say, not using a complex formula? Would it just be 1 in 54?
So, 3 dice. Each die face has a single colour; red, blue, green, pink, purple, orange, instead of a number of pips. All 3 dice are rolled to get a colour combination result.
I stacked coloured blocks (digiatally) to work out all possible combinations and came up with the following:
Total combinations: 54
3 of the same: 6
2 of the same: 30
None the same: 18
Can anyone confirm this is correct without going through the labourious block stacking prcoccess I went through, perhaps by using a formula and/ or computer program?
And secondly, what are the percentages on each of these amounts? Is it as simple as finding a normal percentage; 3 of the same: 6 as a percentage of 54 = ~11%?
To take it further, though this might be pushing it a bit, is there a way of working out the percentage of getting a particular combination, say red, green & blue without using anything other than basic percentage mathamatics, that is to say, not using a complex formula? Would it just be 1 in 54?
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