Probability axioms
Probability axioms are a set of rules that help us understand how likely something is to happen. Think of them as a set of instructions that tell us how to measure and calculate the chances of different events happening.
The first axiom tells us that the probability of any event happening is always between 0 and 1. If an event has a probability of 0, it means it can never happen. If it has a probability of 1, it means it is certain to happen.
The second axiom tells us that the probability of all possible events happening must add up to 1. This means that if we know the probability of one event happening, we can use this rule to figure out the probability of all other possible events.
The third axiom is a bit more complicated. It tells us that if two events are independent, or not related to each other, then the probability of both of them happening is equal to the product of their individual probabilities. So if you want to know how likely it is to flip a coin and get heads twice in a row, you would multiply the probability of getting Heads on the first flip by the probability of getting Heads on the second flip.
By following these three axioms, we can use math to figure out how likely different events are in a variety of scenarios. It's like a set of rules that helps us make sense of the world around us and make predictions about what might happen next.
The first axiom tells us that the probability of any event happening is always between 0 and 1. If an event has a probability of 0, it means it can never happen. If it has a probability of 1, it means it is certain to happen.
The second axiom tells us that the probability of all possible events happening must add up to 1. This means that if we know the probability of one event happening, we can use this rule to figure out the probability of all other possible events.
The third axiom is a bit more complicated. It tells us that if two events are independent, or not related to each other, then the probability of both of them happening is equal to the product of their individual probabilities. So if you want to know how likely it is to flip a coin and get heads twice in a row, you would multiply the probability of getting Heads on the first flip by the probability of getting Heads on the second flip.
By following these three axioms, we can use math to figure out how likely different events are in a variety of scenarios. It's like a set of rules that helps us make sense of the world around us and make predictions about what might happen next.
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