Independent vs. Dependent Events in Probability

The video introduces probability concepts using a card trick, explaining independent and dependent events. It provides examples to calculate probabilities, such as rolling a prime number and flipping heads, choosing both Jokers without replacement, and selecting a heart and then a spade with replacement.

What is the probability of Cal choosing a joker from the deck?

• 1 in 54

• 2 in 54

• Almost impossible

• 1 in 27

What type of event is flipping a coin and rolling a die?

• None of the above

• Dependent

• Independent

• Unpredictable

What is the formula for finding the probability of independent events?

• Probability of A / Probability of B

• Probability of A + Probability of B

• Probability of A - Probability of B

• Probability of A * Probability of B

What does it mean if an event is dependent?

• The outcome is always predictable

• One event influences the outcome of another

• The events have no influence on each other

• The outcome is always 50/50

What is the probability of rolling a prime number and flipping heads?

• 1 in 4

• 1 in 6

• 1 in 12

• 1 in 3

What is the simplified probability of getting a prime number when rolling a die?

• 1 in 2

• 3 in 6

• 1 in 3

• 2 in 6

What is the probability of choosing both jokers without replacement?

• 1 in 1431

• 1 in 27

• 2 in 54

• 1 in 729

What changes the probability of a dependent event?

• The outcome of a previous unrelated event

• The specific time of day the event occurs

• The outcome of a previous related event

• The weather conditions

How does replacing a card affect the probability of choosing a specific card next?

• Does not affect the probability

• Decreases the probability

• Increases the probability

• Changes the total number of cards

What is the probability of choosing a heart, putting it back, and then choosing a spade?

• 2 in 8

• 1 in 2

• 1 in 4

• 3 in 32