# 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)

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
3.T
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
then
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??
4..is 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

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

1. 👍 3
2. 👎 0

## Similar Questions

1. ### English

The detail on p. 199, in "Of Wolves and Men," that describes how the wolf's fur carries seeds to be dispersed along his trail reveals... A. the author’s perspective on events. B. the wolf’s perspective on events. C. the

2. ### Chemistry

which atomic model best explains the helium atom? A. Bohr's Model B. Dalton's Model c. Quantum mechanical model D. Thompson Model Not really sure what this question is asking.

3. ### Statistics

A manufacturer makes two models of an item: model I, which accounts for 80% of unit sales, and model II, which accounts for 20% of unit sales. Because of defects, the manufacturer has to replace (or exchange) 10% of its model I

4. ### Science!

Ernest Rutherford's atomic model included a nucleus comprised of positive particles called protons. Later, James Chadwick discovered neutrons. How did Chadwick's discovery change the atomic model? A. The new model showed a

1. ### Algebra

Myra uses an inverse variation function to model the data for the ordered pairs below. (2, 30), (3, 20), (4, 15), (5, 12), (6, 10) Which statement best explains whether an inverse variation function is the best model for the data?

2. ### probability science

Consider the same model of two rolls of a tetrahedral die, with all 16 outcomes equally likely. Find the probability of the following events: a) The value in the first roll is strictly larger than the value in the second roll.

3. ### math

There are 22 events at an indoor track and field meet. the ratio of track events to field events is 8:3. How many of the events are track events?

4. ### science help

What would happen to the current model of the atom if new information about its structure is discovered in the future? A. The current atomic model would be revised. B. The current atomic model would be strengthened. C. The current

1. ### History

In which order did the events happen? Place the earlier events at the top and the later events at the bottom. Farming surpluses develop. People start to transition from hunting and gathering to agriculture. People build permanent

2. ### 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 . Decide whether the statement is True (always true), or False (not always

3. ### math

11. Create a scale for your model thermometer. Divide the distance between the two marks into 5-mm intervals. Starting with the lowest point, label the intervals on the straw 0, 1, 2, 3, and so on. Describe your scale below. 12.

4. ### History

How does sequencing events on a timeline help historians. A. It allows them to consider events with specific dates. B. It helps them consider events outside of their time periods. C. It helps them understand relationships between