Math

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)

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  3. 👁 380
  1. Which do you think are true? Which do you think are false?

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    2. 👎 0
  2. I think:

    1. T
    2. F
    3.T
    4. F

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  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
    then
    I agree with 1. True
    But check #2 again...

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

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  5. But if C is the roll of a 6 sided die...
    then check out 4 again...

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  6. The correct answer is:

    1:T
    2:T
    3:F
    4:T

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    2. 👎 0

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