Exploring Compound Probability Concepts

The video tutorial covers compound probability, explaining how to calculate it using examples with coins, dice, and tree diagrams. It also discusses the concept of independence in probability, illustrating how to determine if events are independent using the compound probability formula.

What is the probability of two independent events A and B occurring together?

• P(A) + P(B)

• P(A) - P(B)

• P(A) / P(B)

• P(A) * P(B)

What is the probability of selecting a left-handed sophomore at random?

• 0.0375

• 0.25

• 0.15

• 0.04

If a coin is flipped and a die is rolled, what is the probability of getting tails and a three?

• 0.25

• 0.5

• 0.083

• 0.15

What is the combined probability of flipping heads and rolling an odd number on a die?

• 0.125

• 0.5

• 0.25

• 0.75

What is the probability of flipping a fair coin and getting heads five times in a row?

• 0.0625

• 0.03125

• 0.5

• 0.125

What is the probability of a fair coin landing on heads after five flips?

• 0.125

• 0.25

• 0.03125

• 0.5

In a tree diagram, if the probability of being male is 0.55, what is the probability of being female?

• 0.45

• 0.55

• 0.5

• 0.4

If the probability of wearing glasses is 0.2, what is the probability of not wearing glasses?

• 0.3

• 0.5

• 0.2

• 0.8

How do you determine if two events are independent using probabilities?

• P(A) - P(B) = P(A and B)

• P(A) + P(B) = P(A and B)

• P(A) / P(B) = P(A and B)

• P(A) * P(B) = P(A and B)

Using the independence rule, if P(A) = 0.4 and P(B) = 0.2, what should P(A and B) equal for A and B to be independent?

• 0.6

• 0.4

• 0.08

• 0.2