Exploring Dependent and Independent Probability

In this video, Mr. Stocks explains how to calculate probabilities for independent and dependent events using card examples. He demonstrates the probability of selecting specific cards, both with replacement (independent events) and without replacement (dependent events). The video covers examples of selecting odd and even cards, emphasizing the importance of understanding the difference between independent and dependent events in probability calculations.

What is the probability of selecting a specific number from a set of four cards?

• 1/3

• 1/8

• 1/4

• 1/2

If a card is put back after being selected, how does it affect the probability of the next event?

• It increases the probability

• It decreases the probability

• It resets the probability

• It does not affect the probability

What is the result of multiplying the probabilities of two independent events, each with a probability of 1/2?

• 1

• 3/4

• 1/2

• 1/4

What happens to the probability of selecting an odd card if the previously selected odd card is not put back?

• It cannot be determined

• It remains the same

• It decreases

• It increases

In a scenario where cards are not put back, what is the probability of selecting an odd card twice from six cards?

• 1/4

• 1/2

• 1/5

• 1/3

How does the probability of selecting an even card change if an odd card is selected first and not put back?

• Increases

• Decreases

• Becomes zero

• Stays the same

What is the combined probability of selecting an odd card and then an even card, both independently?

• 1

• 3/4

• 1/2

• 1/4

What is the probability of selecting an odd card, putting it back, and then selecting another odd card?

• 1/4

• 1/2

• 3/4

• 1/8

If a card is taken out and not replaced, how does this affect the total number of cards for the next selection?

• Increases the total

• Decreases the total

• Does not affect the total

• Doubles the total

Why is it important to distinguish between independent and dependent events in probability?

• To predict outcomes more accurately

• To simplify calculations

• To use fewer resources

• To increase the probability of winning