Independent vs. Dependent Probability Explained

What is the formula used to calculate probability?

• Favorable outcomes over total outcomes

• Total outcomes minus favorable outcomes

• Total outcomes over favorable outcomes

• Favorable outcomes plus total outcomes

In the example of independent probability, what color marble was initially drawn?

• Blue

• Yellow

• Red

• Green

After returning the marble to the bag, what is the probability of drawing a red marble again?

• 2/7 or 28.6%

• 3/7 or 42.9%

• 4/7 or 57.1%

• 1/2 or 50%

What makes the probability independent in the given example?

• Drawing a marble without looking

• Replacing the marble back into the bag

• Drawing a different colored marble

• Drawing two marbles at once

In the dependent probability example, what color marble was set aside?

• Red

• Yellow

• Green

• Blue

What is the probability of drawing a blue marble the second time in the dependent probability example?

• 4/11 or 36.4%

• 1/2 or 50%

• 6/13 or 46.2%

• 5/12 or 41.7%

What key action differentiates dependent probability from independent probability in the examples given?

• Looking at the marble before drawing

• Drawing a marble

• Setting the marble aside instead of replacing it

• Counting the marbles before drawing

How many total marbles were there initially in the bag used for the dependent probability example?

• 12

• 13

• 14

• 15

What was the total number of possible outcomes after setting a marble aside in the dependent probability example?

• 11

• 13

• 14

• 12

What is the significance of understanding the difference between independent and dependent probability?

• It is only useful in mathematical theory

• It is only used in gambling

• It helps in predicting outcomes more accurately

• It has no real-world application