Probability
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This document defines key concepts in probability theory such as events, outcomes, sample space, and using the probability formula. It explains how to represent probabilities using Venn diagrams and the conditions for mutually exclusive events. Mutually exclusive events are those where no outcome can belong to both events simultaneously, such as being both male and female. The document provides examples like the probability of flipping a coin and rolling dice to illustrate these probability concepts.
Probability
- 2. Lesson objectives: Define the important concepts in probability Work out the probability of certain events using the formula for probability Apply the probability formula Represent probability using Venn diagrams Conditions for mutually exclusive
- 3. Revision Probability is the study of HOW likely it is that an event will happen. The following are typical probability questions What is the chance of getting a head when flipping a coin What is the chance of getting a 2 when rolling dice NB:ONE DIE TWO DICE
- 4. Important concepts in probability An Event is a happening or an activity that has outcomes or results example: Rolling an even number is an event with certain outcomes An outcome is the possible results of an event example: possible outcomes of rolling a die are: 1;2;3;4;5;6 Sample space is the set of all possible outcomes.
- 5. probability representation Probability formula Probability= ｐ ＄ ＄ Probability always lie between 0 and 1, measured as fraction or as decimal example: The probability of getting a head when flipping a coin is 1 2 /0.5 If probability is shown as a percentage, then it lies between 0% and 100%
- 6. Venn diagrams We use Venn diagrams to help us rep[resent different events.(Venn diagrams consist of circles and a rectangle) The rectangle (S) represents the sample space(all the possible outcomes) Each circle inside the rectangle represent different events If the circle intersects, the intersection shows which outcomes belong to both events (S)
- 7. Mutually exclusive events Mutual: applies to two or more people or events Exclude: To keep out, not allow in Mutually exclusive: Both events keep the other out, so there is no outcome that can in both events at the same time YOU CANNOT BE MALE AND FEMALE AT THE SAME TIME
- 8. CONDITIONS FOR MUTUALLY EXCLUSIVE EVENTS P(A and B)= 0
- 9. THANK YOU
- 10. References /Qwizdom/qwizdom-maths- probability?qid=6a6158b2-be7f-4ca1-80be- 3019a51f4a10&v=&b=&from_search=2 /charliechen9883/maths-presentation-on- probability-distribution?qid=6a6158b2-be7f-4ca1-80be- 3019a51f4a10&v=&b=&from_search=5 /svsonwalkar/maths-probability?qid=64fcc2f1- 70f3-4eae-a0fa-613ee3b926d4&v=&b=&from_search=8