Front

What is the definition of independent events in probability?

Back

Two events are independent if the occurrence of one does not affect the occurrence of the other.

Front

What is conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred.

Front

How do you calculate the probability of drawing two marbles without replacement?

Back

P(A and B) = P(A) * P(B|A), where P(B|A) is the probability of drawing B after A has been drawn.

Front

What is the formula for expected value in probability?

Back

Expected value = (Probability of outcome 1 * Value of outcome 1) + (Probability of outcome 2 * Value of outcome 2) + ...

Front

How do you find the probability of an event given another event?

Back

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

Front

What is the total number of outcomes when drawing two marbles from a bag of 20 marbles?

Back

The total number of outcomes is calculated using combinations: C(20, 2) = 190.

Front

What is the probability of selecting an odd number from a set of cards?

Back

Count the odd numbers in the set and divide by the total number of cards.

Front

What is the probability of selecting a multiple of 3 from a set of cards?

Back

Count the multiples of 3 in the set and divide by the total number of cards.

Front

How do you determine the probability of two events occurring together?

Back

Multiply the probability of the first event by the probability of the second event, if they are independent.

Front

What is the definition of a sample space in probability?

Back

The sample space is the set of all possible outcomes of a probability experiment.