When we roll a dice the probability of getting each number is (1/6). Apart from the fact that probabilities are supposed to be in the range of 0-1; why do they all add up to 1?
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Imagine you have a large sheet of paper 1 sq. meter in size. Then divide divide the paper into six rectangles of equal area. The first rectangle is marked as 1, the second is marked as 2, and so on up to rectangle 6. Then throw a dart at the paper at a random location.
Since each rectangle has an area of 1/6 sq. meters, the probability of hitting a particular rectangle is 16.̅6% (assuming your dart actually hit the paper). If you then add up the areas of all 6 rectangles, you’ll find they sum to 1 sq. meter.
It’s similar with probabilities. Die rolls: 1, 2, 3, 4, 5, and 6 are the only possibilities and it’s certain that only one of those possibilities will result from a roll (can’t roll two or more numbers from a single die). By definition, a certain event has a probability of 1. So the sum of the probabilities must add up to 1.
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