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PROBABILITY, image, image, image - Coggle Diagram
PROBABILITY
Definition
The probability of an event is the ratio of the number of ways an event can happen to the total number
of outcomes in the sample space. Moreover, the mathematical value of something happening or not.
Probability of event to happen P(E) = Number of favourable outcomes/Total Number of outcomes
If an event E cannot occur, then P(E)=0, If an event E is certain to occur, then P(E)=1.
Sample Space
The set of all possible outcomes of a random
experiment.
Outcomes
The probability of any outcome is a number between 0 and 1.
Each possible outcome of a particular experiment is unique, and different.
Possible result of an experiment or trial. It is a subset of the sample space.
For the experiment where we flip a coin twice, the four possible outcomes that make up our sample space are (H, T), (T, H), (T, T) and (H, H), where "H" represents a "heads", and "T" represents a "tails".
Events
Throwing a Dice
When a single die is thrown, there are six possible outcomes: 1, 2, 3, 4, 5, 6.
The probability of any one of them is 1/6.
Tossing a Coin
For the experiment where we flip a coin twice, the four possible outcomes that make up our sample space are (H, T), (T, H), (T, T) and (H, H), where "H" represents a "heads", and "T" represents a "tails".
Simple and Compounded Events
Consists of two or more simple events. Tossing a dice is a simple event; but tossing two dices or coins is a compound event.
AND and OR Rules
If two events A and B are independent, then the probability of both A and B occurring is found by multiplying the probability of A occurring by the probability of B occurring.
If we have two events A and B and it isn't possible for both events to occur, then the probability of A or B occuring is the probability of A occurring + the probability of B occurring.
