: Why do all the probabilities add up to 1?

223 views

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?

In: 3

8 Answers

Anonymous 0 Comments

One is the whole. 100%. It can’t be more or less. If you roll a standard 6 sided dice there is a 100% chance you’ll roll a number between 1 and 6.

Each probability is a number smaller than one. Let’s use a 20 sided dice because the math is easier for me. The chance of you rolling one of those numbers is 1/20. 1 divided by 20 equals 0.05. 0.05 = 5%. There is 20 possibilities, and you are dividing the number one by 20. 1 is all of the possible outcomes added together. In this instance 0.05 × 20 = 1.

You are viewing 1 out of 8 answers, click here to view all answers.