Exploring Compound Probability Concepts

The video tutorial covers the basics of probability, starting with a review of simple probability, which involves calculating the likelihood of a single event. It then introduces compound probability, which involves two events and can be either independent or dependent. Independent events are those where the outcome of one does not affect the other, while dependent events are those where the outcome of one event affects the outcome of the other. Examples are provided for both types, including scenarios with spinners and marbles, to illustrate how to calculate probabilities in each case.

What is the probability of selecting a red marble from a bag containing 10 marbles, where 6 are red?

• 60%

• 40%

• 50%

• 30%

If a spinner has 8 sections with 4 labeled 'A', what is the simplified probability of landing on 'A'?

• 1/3

• 3/4

• 1/4

• 1/2

What is the result of multiplying the probabilities of landing on 'A' and then on 'B' on a spinner, if 'B' appears twice on 8 sections?

• 1/16

• 1/8

• 1/4

• 1/2

What is the probability of landing on 'C' and then on 'B' on a spinner, where 'C' appears twice and 'B' twice on 8 sections?

• 1/4

• 1/8

• 1/16

• 1/32

In a bag with 5 items, if selecting a star (3 stars present) and then a heart (2 hearts), without replacement, what is the probability?

• 3/20

• 6/20

• 3/8

• 3/10

What changes the probability in a dependent event scenario?

• None of the above

• Increasing total items

• Not replacing the item

• Replacing the item

If a bag initially contains 20 marbles and one is removed, what is the new total number of marbles in the bag?

• 21

• 20

• 19

• 18

What is the probability of first drawing a blue marble and then a green marble from a bag, without replacing the blue one?

• 3/38

• 1/38

• 5/38

• 10/38

How is the probability of two dependent events calculated when an item is not replaced?

• By subtracting probabilities

• By multiplying probabilities

• By dividing probabilities

• By adding probabilities

What is the simplified form of the probability of selecting a blue marble from a bag of 20, where 6 are blue?

• 1/4

• 3/10

• 1/3

• 1/5