Assignment 5.1

Introduction:

The probability of an event E is determined by the outcomes of the event E divided by the sample space or total possible outcomes.Conditional probability can alter this calculation if we are given addition information which results in the probability calculation of the event in a smaller sample space.

Conditional probabilityis a measure of the probability of an event E (a situation occurring) given that another event F has occurred.What this does is to reduce the sample space (total possible outcomes) to the outcomes of F.Therefore, the probability will be the outcomes of event E present in the outcomes of event F divided by the reduce sample space (the outcomes of Event F).The following figure captures the understanding of conditional probability.

P(E|F), the probability that E occurs given F has occurred. Since we assume that F has occurred, reduce the sample space to F: Look only at the elements inside F! P(E|F)= \"fig