Independent and Dependent Events Explained

The video tutorial covers the concepts of independent and dependent events in probability. Independent events are those where the outcome of one event does not affect the other, while dependent events have outcomes that influence subsequent events. The tutorial provides examples and calculations for both types of events, including scenarios with tiles, spinners, and fruit baskets. The session concludes with a summary and a homework assignment to reinforce the understanding of these concepts.

What is the probability of selecting a vowel from the tiles and the spinner?

• 1/6

• 1/12

• 1/18

• 2/24

How does the probability of picking a vowel from the spinner compare to picking a vowel from the tiles?

• Higher for tiles

• Higher for spinner

• Same for both

• Cannot determine

If a spinner has five outcomes, what is the probability of not spinning blue?

• 1/5

• 4/5

• 3/5

• 2/5

What is the simplified result of multiplying the probabilities of spinning not blue and rolling a three or four?

• 3/15

• 8/30

• 4/15

• 7/30

What is the result of simplifying the probability of not spinning blue and rolling a three or four?

• 2/15

• 4/15

• 1/15

• 8/30

What is the probability of rolling a two or a four on the first cube and a five on the second cube?

• 1/18

• 2/36

• 1/12

• 1/36

After Scott takes an apple, what is the probability that Jake also picks an apple?

• 5/16

• 4/15

• 1/15

• 1/12

What is the final simplified probability of Scott and Jake both picking apples?

• 2/24

• 1/18

• 1/15

• 1/12

What is the probability of Scott picking a banana and then Jake picking another banana?

• 7/16

• 7/40

• 6/15

• 42/240

If an orange is taken first, what is the probability of then picking an apple?

• 1/12

• 4/16

• 1/15

• 5/15