Exploring Conditional Probability Concepts

What does it mean when two events are independent in probability theory?

• The events must occur simultaneously

• The events cannot occur at the same time

• The outcome of one event does not affect the outcome of the other

• The outcome of one event affects the outcome of the other

How do you calculate the probability of two dependent events occurring together?

• Multiply the probabilities of both events

• Subtract the probability of one event from the other

• Add the probabilities of both events

• Divide the intersection probability by the probability of the first event

What is the formula for the probability of event A given event B in dependent events?

• P(A or B) / P(B)

• P(B) / P(A)

• P(A) / P(B)

• P(A and B) / P(B)

If a white cube lands on three, what is the probability of a red cube also landing on three?

• 1/3

• 1/18

• 1/6

• 1/12

If the probability of a red cube landing on three is 1/6, what is the probability of both a red and a white cube landing on three?

• 1/6

• 1/12

• 1/18

• 1/36

What is the probability of both a dime and a quarter landing on tails if the quarter is already known to be tails?

• 1/2

• 1/4

• 1

• 3/4

In a survey, if a student is known to be a girl, what is the probability that she supports a funding proposal?

• 45/55

• 10/55

• 35/45

• 10/45

What is the probability that a randomly selected boy has no opinion on the proposal?

• 45/55

• 10/55

• None of the boys had an opinion

• Cannot be determined from the given information

If a student is known to have a computer, what is the probability they are in the 10th grade?

• None of the above

• 30/60

• 45/60

• 15/60

What is the probability that a 10th grader owns a computer?

• 30/35

• 25/35

• 20/35

• 15/35