Probability & Logic/Reasoning

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Across
  1. 3. __________ Geometry: A type of geometry that focuses on planes and solid figures on the basis of axioms and theorems employed by Greek mathematicians.
  2. 10. a statement that might be true based on reasoning but is not proven.
  3. 12. A number that reflects the chance or likelihood that a particular event will occur. Basically, it is how likely something is to happen.
  4. 13. a statement in which you switch the hypothesis and conclusion of a conditional statement and negate both. Ex: ¨If not q, then not p.¨
  5. 18. ___________ Statement: A statement that is a combination of a conditional statement and its converse written in the if and only if form. Ex: ¨p if and only if q.¨
  6. 19. ___________ segments: segments of a line that have the same length.
  7. 20. __________ Geometry: The geometry of the two-dimensional surface of a sphere. An example of geometry that is not Euclidean.
Down
  1. 1. ___________ Statement: A statement joining two events together based on a condition in the form of ¨If something, then something. Ex: If p, then q.
  2. 2. ___________ Space: The set of all possible outcomes of an experiment.
  3. 4. __________ example: an example that satisfies the statements condition but does not lead to the statements conclusion. It shows that a mathematical statement is false.
  4. 5. ___________ Probability: The probability of what is expected to happen. It is determined on the basis of reasoning.
  5. 6. the product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point.
  6. 7. a statement when the hypothesis and conclusion of a conditional statement are negated. Ex: ¨If not p, then not q¨
  7. 8. ___________ Events: An event that is not affected by other events.
  8. 9. ___________ Events: An event that is affected by previous events. It is an event that can only occur if another event occurs first.
  9. 11. ___________ Probability: The likelihood of an event occurring, given that another event has already occurred. An event has already happened which is determined by the previous event.
  10. 14. ___________ Probability: The probability that is based on the results of an experiment. It's the opposite of theoretical probability.
  11. 15. the middle part of a line segment. It bisects the segment.
  12. 16. a statement that is created when the hypothesis and conclusion of a conditional statement are reversed. Ex: ¨If q, then p.¨
  13. 17. A statement that is taken to be true without proof. They are also known as axioms.