Analyzing Independent and Dependent Events: Finding Probabilities

The video tutorial explains the concepts of independent and dependent events in probability. It begins with an introduction to theoretical probability, using examples like marbles in a bag and coin tosses to illustrate the differences between independent and dependent events. Common mistakes in calculating probabilities are addressed, emphasizing the importance of understanding how previous events can affect outcomes. The tutorial concludes with a summary of the key points covered.

What is the theoretical probability of picking a red marble from a bag containing 4 blue, 3 red, and 2 green marbles?

• 1/2

• 1/5

• 1/3

• 1/4

If a marble is not replaced after being picked, how does this affect the probability of picking a red marble next?

• The probability decreases

• The probability increases

• The probability becomes zero

• The probability remains the same

What is the probability of getting heads on a coin toss, regardless of previous outcomes?

• 1/2

• 1/5

• 1/3

• 1/4

Which of the following is an example of a dependent event?

• Flipping a card

• Rolling a die

• Tossing a coin

• Picking a marble without replacement

How does the probability of a child having green eyes depend on the parents?

• It is independent of the parents

• It depends on the parents' eye color

• It is always 1/2

• It is always 1/4