Basic & Conditional Probability

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 a conditional probability?

Back

Conditional probability is the probability of an event occurring given that another event has already occurred, denoted as P(A|B).

Front

How do you calculate the probability of an event?

Back

The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Front

What is the formula for calculating P(not A)?

Back

P(not A) = 1 - P(A).

Front

If a jar contains 2 pink, 6 red, and 4 blue marbles, what is the total number of marbles?

Back

Total marbles = 2 + 6 + 4 = 12.

Front

What is the probability of picking a red marble from the jar?

Back

P(red) = Number of red marbles / Total number of marbles = 6/12 = 1/2.

Front

What does it mean if two events are independent?

Back

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

Front

What is the probability of rolling a number greater than 4 on a standard number cube?

Back

P(greater than 4) = Number of favorable outcomes (5, 6) / Total outcomes (1-6) = 2/6 = 1/3.

Front

What is the sample space in probability?

Back

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

Front

How do you find the probability of the union of two events A and B?

Back

P(A or B) = P(A) + P(B) - P(A and B).