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Two dices are thrown. Find probability that the sum of the numbers on dices will be lesser than 8.
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Is there a way to solve this problem without manually writing out each probability? (when one dice is 6 another must be 1, when 5 - 1 or 2 and so on)
Well that depends on how much smart you're in calculating events.
;) Well, I know that the answer is 21/36 and we obtain 21 by adding everything from 1 to 6 inclusive, but are there any ways to show this in some kind of theorem?
Well there are no theorems for such events. It is just a logical type question which doesn't require complex math so I would be surprised if there exist some theorem for this
Thank you then!
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