What are the two basic laws of probability?

The two fundamental laws of probability are essential for understanding how likely events are to occur. These laws are:

Additive Law of Probability

This law states that the probability of the occurrence of at least one of two mutually exclusive events is the sum of their individual probabilities. In simpler terms, if you have two events that cannot happen at the same time, you can find the probability of either event happening by adding their probabilities together.

• If A and B are mutually exclusive events, then: P(A or B) = P(A) + P(B)

Multiplicative Law of Probability

The multiplicative law applies when considering the probability of two independent events occurring together. If the events do not affect each other, you can find the probability of both happening by multiplying their individual probabilities.

• If A and B are independent events, then: P(A and B) = P(A) × P(B)

Understanding these two laws helps in calculating probabilities in various scenarios, from games to real-life situations.