Let A , B , and C be events associated with the same probabilistic model (i.e., subsets of a common sample space), and assume that P(C)>0 .

For each one of the following statements, decide whether the statement is True (always true), or False (not always true).

Suppose that A⊂C . Then, P(A∣C)≥P(A) .

Suppose that A⊂B . Then, P(A∣C)≤P(B∣C) .

Suppose that P(A)≤P(B) . Then, P(A∣C)≤P(B∣C) .

Suppose that A⊂C , B⊂C , and P(A)≤P(B) . Then, P(A∣C)≤P(B∣C)

  1. 👍 1
  2. 👎 0
  3. 👁 380
  1. Which do you think are true? Which do you think are false?

    1. 👍 1
    2. 👎 0
  2. I think:

    1. T
    2. F
    4. F

    1. 👍 1
    2. 👎 0
  3. If A = roll a 2
    B = roll a 2 or 4
    C = roll an even number on your 6 sided die
    S = rolling a 6 sided die
    I agree with 1. True
    But check #2 again...

    1. 👍 0
    2. 👎 0
  4. Yes,I now see 2 is true. 3 seems to be T?? false!

    1. 👍 0
    2. 👎 0
  5. But if C is the roll of a 6 sided die...
    then check out 4 again...

    1. 👍 0
    2. 👎 0
  6. The correct answer is:


    1. 👍 3
    2. 👎 0

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