24
Oct
Probability Of Multiple Independent Events. PB jA PB. Tossing a coin multiple times or rolling dice are independent events. Events A and B are independent ie events whose probability of occurring together is the product of their individual probabilities. Test the following events for independence.
Two events A and B are independent if the outcome of A does not affect the outcome of B. If either equation in 4 holds then A and B are independent. Test the following events for independence. As we study a few probability problems I will explain how replacement allows the events to be independent of each other. Pr A B Pr A Pr B. Events A and B are called mutually exclusive if their simultaneous occurrence is.
A good example will be if an individual flips a coin then heshe has the chance of getting head or tail.
If the events A and B are mutually exclusive then the probability that happens either A or B denoted. Formula for the probability of A and B independent events. For example the outcomes of two roles of a fair die are independent events. Let E1 and E2 be independent events such that P E1 E2215 and P E1E216 Then P E2 is. Theorem 2 Conditional Probability of Independent Events If A and B are independent events with nonzero probabilities in a sample space S then PA jB PA. Pr A B Pr A Pr B.