Standard 6 Checkpoint

Front

What is the definition of probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

Front

What is the formula for conditional probability?

Back

P(A|B) = P(A and B) / P(B), where P(A|B) is the probability of event A given event B.

Front

If the probability of an event is 0.5, what does this mean?

Back

It means there is an equal chance of the event occurring or not occurring.

Front

What is the probability that a student does not play on a sports team if the probability of playing is 0.5?

Back

0.5, since the probabilities of playing and not playing must sum to 1.

Front

How do you calculate the probability of two independent events occurring?

Back

Multiply their individual probabilities: P(A and B) = P(A) * P(B).

Front

What is the probability of passing a test if the probability of studying is 8/9 and the probability of passing given studying is 3/5?

Back

27/40, calculated using conditional probability.

Front

What does it mean if two events are independent?

Back

The occurrence of one event does not affect the probability of the other event occurring.

Front

What is a tree diagram and how is it used in probability?

Back

A tree diagram is a visual representation of all possible outcomes of an event, used to calculate probabilities.

Front

What is the probability that a randomly chosen customer holds an AA card given they hold a Visa card?

Back

0.0267, calculated using conditional probability.

Front

If Sally is on time 40% of the time and prepared 80% of the time when on time, what is the probability she is prepared given she is on time?

Back

0.8, as it is directly given.