Exploring Conditional Probability Concepts

What is the probability of getting at least one tails in two coin flips if the first flip is heads?

• 1/2

• 1/4

• 3/4

• 1

How is the sample space affected by the condition in a conditional probability scenario?

• It becomes undefined

• It remains the same

• It is reduced

• It is expanded

What does the vertical bar '|' symbolize in the conditional probability formula?

• Given that

• Division

• Addition

• Multiplication

What is the formula for conditional probability?

• P(E|F) = P(E) + P(F)

• P(E|F) = P(E) * P(F)

• P(E|F) = P(E) / P(F)

• P(E|F) = P(E and F) / P(F)

What is the purpose of the conditional probability formula?

• To subtract the probability of one event from another

• To add probabilities of two events

• To determine the probability of an event given a condition

• To calculate the likelihood of two independent events

What is the conditional probability of drawing a red king from a standard deck?

• 1/52

• 2/52

• 1/13

• 1/26

What is the probability of drawing a king from a standard deck of cards?

• 1/13

• 2/52

• 4/52

• 1/26

Are the events 'drawing a king' and 'drawing a red card' independent?

• Insufficient information

• No

• Depends on the deck

• Yes

What does it mean if two events are independent?

• The outcome of one does not affect the other

• They cannot occur together

• They always occur together

• The outcome of one affects the other

What is the probability of a student passing exam 2 given they passed exam 1?

• 40%

• 10%

• 25%

• Not enough information