Welcome, to the world of Mathematics!
Welcome,to the world of Mathematics!How many different outfits can you choose?
Six (6) different outfits can be chosen.
This is an example of.PROBABILITYWhat is Probability?is a branch of mathematics that deals with uncertainly. It is a measure or estimation of how likely it is that an event will occur.
Sometimes you can measure a probability with a number: "10% chance of rain", or you can use words such as impossible, unlikely, possible, even chance, likely and certain.
Probability is always between 0 and 1Tossing a Coin
When a coin is tossed, there are two possible outcomes: heads (H) or tails (T)We say that the probability of the coin landing H is . And the probability of the coin landing T is .
Throwing DiceWhen 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.
FormulaProbability of an event happening = Number of ways it can happen
Total number of outcomes
ProbabilityExample: the chances of rolling a "4" with a dieNumber of ways it can happen: 1 (there is only 1 face with a "4" on it)Total number of outcomes: 6 (there are 6 faces altogether)
1So the probability = 6Example: the chances of rolling a "4" with a dieNumber of ways it can happen: 1 (there is only 1 face with a "4" on it)Total number of outcomes: 6 (there are 6 faces altogether)
Example: there are 5 marbles in a bag: 4 are blue, and 1 is red. What is the probability that a blue marble will be picked?Number of ways it can happen: 4 (there are 4 blues)Total number of outcomes: 5 (there are 5 marbles in total)
4So the probability = = 0.85 5
Probability is Just a Guide
Probability does not tell us exactly what will happen, it is just a guide.
Words to remember: Certain = refers to an event which has to happen.Chance = refers to the likehood that something will happen.Experiment = an action where the result is uncertain. Impossible = refers to an event which will never happen.Outcomes = are the result of experiments.
Words to remember:Sample point = is an individual outcome in the sample space.Sample space or probability space = is the set of all possible outcomes of an experiment.Uncertain = refers to something which is likely to change, and therefore not reliable or stable.Unlikely = refers to something which is not likely to occur, not likely to be true or be believed.