What are the basic concepts of probability theory?

What are the basic concepts of probability theory?

Probability theory is the branch of mathematics that deals with the likelihood of events occurring. Key concepts include experiments, outcomes, events, and probability measures.

Can you explain what an event is in probability?

An event is a specific outcome or a set of outcomes from a probability experiment. For example, rolling a die and getting a 4 is an event.

What is the difference between independent and dependent events?

Independent events are those whose outcomes do not affect each other, while dependent events are those where the outcome of one event influences the outcome of another.

How do you calculate the probability of an event?

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Can you give me an example of calculating probability?

Sure! If you roll a fair six-sided die, the probability of rolling a 3 is 1 favorable outcome (3) out of 6 possible outcomes, so it's 1/6.