Then the number of ways the event in question can happen can be defined as \(n(E)\) and size of the sample space can be defined as \(n(S) .\) In this notation, the probability of an event \(P(E)\) is ...Then the number of ways the event in question can happen can be defined as \(n(E)\) and size of the sample space can be defined as \(n(S) .\) In this notation, the probability of an event \(P(E)\) is defined below: If the test contains 10 problems chosen at random from the study guide, what is the probability that at least 8 of the problems on the test are problems the student knows how to do?