Exploring Probability: Independent vs Dependent Events

The video tutorial covers the concepts of theoretical and experimental probability, using examples with donuts and dice to explain simple and compound events. It distinguishes between independent and dependent events, providing practical examples with donuts and candy. The session concludes with a creative discussion on designing a custom donut.

What type of probability is calculated based on actual experimental outcomes?

• Theoretical probability

• Experimental probability

• Objective probability

• Subjective probability

If a tray has 12 donuts, 4 of which have pink icing, what is the simplified probability of picking a pink-iced donut?

• 1/4

• 1/3

• 2/5

• 1/2

What is the probability of selecting a green-iced donut from a tray of 12, where 3 are green?

• 3/4

• 1/3

• 1/2

• 1/4

How do you calculate the probability of a compound event?

• Subtract the probabilities of each event

• Multiply the probabilities of each event

• Add the probabilities of each event

• Divide the probabilities of each event

What is the probability of rolling an even number twice in a row with a six-sided die?

• 1/3

• 1/4

• 1/6

• 1/2

What defines an independent event in probability?

• The events must involve multiple items

• The outcome of one event does not affect another

• The outcome of one event affects another

• The events must involve only one item

In a dependent event scenario, if you do not replace a drawn item, how does it affect the probability of subsequent draws?

• Increases the probability

• Decreases the probability

• Changes the type of probability

• Does not affect the probability

What is the probability of drawing a purple-iced donut twice in a row, without replacement, from a total of nine, initially four being purple?

• 1/9

• 1/12

• 1/6

• 1/18

If you replace a candy in a jar after drawing, how does it affect the probability of drawing the same type of candy again?

• Does not affect the probability

• Decreases the probability

• Increases the probability

• Changes the type of probability

If you could design a donut, what feature would you definitely include?

• Savory flavors

• Less sweetness

• No icing

• Extra sugar glaze