This implies that on adding the probabilities of each outcome, the total is equal to 1. Similarly, the probability of the other outcomes can be calculated.
#Probabilty tree diagrams series#
To calculate the probabilities of a series of events, multiply the probabilities along the branches of the probability tree diagram. Thus, in total there are 4 sets of possible outcomes.
The second set of probabilities represents the second coin toss. The next step is to extend it to two coin tosses as follows: First, the probability tree diagram of a coin being flipped once is drawn as given in the previous section. This is an example of an independent event as the outcome of each coin toss is independent of the previous flip. Suppose a probability tree diagram needs to be constructed for flipping a fair coin twice. 0.5 is written on the branch and represents the probability of occurrence of each sibling event. Head and tail are the two possible outcomes forming the sibling nodes. Here, the first node represents the parent event of a coin being tossed. This is a simple probability tree and has two branches only. Suppose a fair coin is tossed once, then the probability tree can be constructed as follows:
The branches denote the probability of occurrence of these events. The sibling nodes denote other additional possible events or outcomes.
The parent node represents a certain event and has a probability of 1. The nodes can further be classified into a parent node and a sibling node. There are two main parts of a probability tree. A probability tree diagram can either represent a series of independent events or it can be used to denote conditional probabilities. The purpose of a probability tree is that it shows all the possible outcomes of an event and calculates the probability of these outcomes. It displays all the possible outcomes of an event. A probability tree diagram is used to represent the probability of occurrence of events without using complicated formulas.
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