Conditional probability is the probability of some event , given the occurrence of some other event . This is denoted and is read “the probability of , given ”. In other words, we are calculating probabilities conditional on knowing further information partway through the experiment.
A math teacher gave her class two tests. of the class passed both tests and of the class passed the first test. What percent of those who passed the first test also passed the second test?
Two-thirds or approximately of the class passed the second test.