Arithmetic progressions, probability & triangles

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Across
  1. 3. An event that is not part of the experiment or the sample space
  2. 5. A triangle has three vertice
  3. 6. The result of a trial
  4. 7. a polygon with three sides having three vertices
  5. 8. The term that starts the sequence, represented by the letter "a"
  6. 9. a measure of the likelihood of an event to occur
  7. 10. The difference between any two consecutive terms, represented by the letter
Down
  1. 1. A specific outcome or set of outcomes from the sample space
  2. 2. A triangle with at least two sides that are equal in length
  3. 4. The term at position "n", represented by the symbol "an"