You use the rule P(A and B) = P(A) x P(B|A) when the events are dependent.
P(B|A) is a conditional probability, indicating the probability that event A occurs given that event B has already occurred.
Once measure theory is covered, probability does become a lot easier to use and understand.
In the language of measure theory, probability is formally defined as a triple known as a probability space, denoted .
Probability can be loosely defined as the chance that an event will happen.
The foundations of probability reside in an area of analysis known as measure theory.
Breaking down the percentages into decimals will yield 0.60 x 0.70, found by dividing both percentages by 100. Converting the answer back to a percentage by multiplying by 100 will yield 42 percent. Contributing to e How, she is also a software engineer and adjunct instructor of statistics and computer information systems.
Friesen holds a Master of Science in engineering management and a certificate in financial engineering, as well as Bachelor of Science degrees in applied mathematics and computer science from the Missouri University of Science and Technology.
The problem says that P(A = chocolate) = 60% and P(B = vanilla) = 70%. You can substitute the word "chocolate" when you see the event A and the word "vanilla" when you see the event B.
Using the appropriate equation for the example and substituting the values, the equation is now P(chocolate and vanilla) = 60% x 70%. Using the previous example, P(chocolate and vanilla) = 60 percent x 70 percent.