Check up list for Midterm 2

  • Units (Only material and problems from 2A): Idenify units. Unit conversions. Currency conversions.
  • Definition of outcomes and events. 
  • Count the total number of outcomes, and the  number of  outcomes of an event. (The Multiplication Rule might be useful here)
  • IIdentify and compute theoretical and empirical probability. 
  • Identfify independent, dependent, overlappping and non-overlapping events. You should be able to apply correctly the following formulae:
    • If A and B are indepentent events then P(A and B) = P(A) x P(B)
    • If A and B are dependent, P(A and B) = P(A) x P(B given A)
    • P(A or B) = P(A) + P(B) - P(A and B). (Can this formula be simplified if A and B are non-overlapping?)
    • P(at least one occurrence of A in n trials)= 1 - [P(A)]n (You should review the conditins under which this formula can be applied).
  • Understand and apply the Law of Large Numbers.
  • Compute expected value, and understand the results.
  • Understand the Gamble's Fallacy.
  • Compute an understand when to apply each of the following.
    • Number selections of r objects from a set of n objects are there?   nr
    • Permutations 
    • Combinations
    • "At least once" rule.
  • Compute probabilities using all the counting methods we saw.


The midterm will consists in 7 or 8 problems, similar to the  problems listed below  (Units 2A, 7A, 7B, 7C and 7E). No calculators, books or notes will be allowed. You should simplify your computationts (for instance, you should write 360!/358! = 359x360 and NOT leave the expression 360!/358!) but it is not required to perform the product, 359 x 360. (You can leave it indicated).


Sample midterm (this does not mean that the statement of the problems of the actual midterm will be identical or extremely similar to that of the ones listed below. It is just a guideline so you know the structure and level of the exam.)

When writing the answers to the midterm, make sure you explain how your results were obtained. A numerical answer with no justification will receive little or no credit. 
  • 2A 55 - 87
  • 7A 39 - 61
  • 7B  33- 51-66
  • 7C  34 -  39
  • 7E  35- 38- 41- 45- 62- 65