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 Sample Space?

Back

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

Front

What does A ∪ B represent in set theory?

Back

A ∪ B represents the union of sets A and B, which includes all elements that are in A, in B, or in both.

Front

If Set A = {1, 2, 3} and Set B = {3, 4, 5}, what is A ∪ B?

Back

A ∪ B = {1, 2, 3, 4, 5}.

Front

What is the formula for calculating the probability of an event?

Back

The probability of an event is calculated as P(E) = Number of favorable outcomes / Total number of outcomes.

Front

What is the probability of rolling a 3 on a standard six-sided die?

Back

P(rolling a 3) = 1/6.

Front

What is the difference between independent and dependent events?

Back

Independent events do not affect each other's outcomes, while dependent events do.

Front

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

Back

P(drawing a red card) = 26/52 = 1/2.

Front

What is the definition of an event in probability?

Back

An event is a specific outcome or a set of outcomes from a probability experiment.

Front

What is the probability of getting heads in a single coin toss?

Back

P(getting heads) = 1/2.