Which of the following is an example of conditional probability?

2 answers:

6 0

Conditional probability means that the action is subject to a condition, that it can only happen if some condition is met. So D is the answer. None of the others imposes any condition being met.

nevsk [136]3 years ago

5 0

Answer:

Option 4 - (Probability of hitting a home run, given that you didn't strike out) is a conditional probability.

Step-by-step explanation:

Conditional probability -

The probability of event A under the condition of event B.

or, it is a measure of probability of an event given that the another event has occurred.

1) Probability of getting an A on a test - No other event happen in this case therefore, it is not a conditional probability.

2) Probability of drawing a club from a deck of 52 cards - No other event happen in this case therefore, it is not a conditional probability.

3) Probability of hitting a home run - No other event happen in this case therefore, it is not a conditional probability.

4) Probability of hitting a home run, given that you didn't strike out- It is a conditional probability because event (hitting a home run) is happened under the condition that you didn't strike out. (By definition)

Therefore, option 4 is the example of conditional probability.

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Two systems of equations are shown below:

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System A:
6x + y = 2
-x - y = -3

System B:
2x - 3y = -10
-x-y = -3

Solve:
System A:
6x + y = 2
y = 2 - 6x
-x - (2-6x) = -3
-x - 2 + 6x = -3
5x = -3 + 2
5x = -1
x = -1/5
y = 2 - 6(-1/5)
y = 2 + 6/5
y = 2 + 1.2
y = 3.2 System A: x = -1/5 or -0.2 ; y = 3 1/5 or 3.2

System B:
2x - 3y = -10
2x = -10 + 3y
x = -5 + 1.5y
-x - y = -3
-(-5 + 1.5y) -y = -3
5 - 1.5y - y = -3
-2.5y = -3 - 5
-2.5y = -8
y = 3.2
x = -5 + 1.5(3.2)
x = -5 + 4.8
x = -0.2 System B: x = -0.2 ; y = 3.2

<span>B) They will have the same solution because the first equations of both the systems have the same graph.</span>

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