Sample Space: The set of all possible outcomes of an experiment.
Event: A subset of the sample space.
Probability of an Event: The likelihood of an event occurring, represented by a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to occur.
Calculating Probability:
Probability of an Event A: P(A) = Number of favorable outcomes / Total number of outcomes
Conditional Probability: The probability of an event occurring given that another event has already occurred.
Independent and Dependent Events: Events are independent if the occurrence of one event does not affect the occurrence of the other. Events are dependent if the occurrence of one event does affect the occurrence of the other.
Applications of Probability:
Gambling and Games: Understanding probability helps in making informed decisions in games of chance.