Probability

Front

What is the probability of an event?

Back

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 (impossible) and 1 (certain).

Front

What is the formula for calculating the probability of the union of two events A and B?

Back

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

Front

What does it mean for two events to be mutually exclusive?

Back

Two events are mutually exclusive if they cannot occur at the same time. For example, flipping a coin cannot result in both heads and tails.

Front

What is the probability of flipping a fair coin and getting heads?

Back

1/2

Front

What is a Venn Diagram used for in probability?

Back

A Venn Diagram is used to visually represent the relationships between different sets, including their intersections and unions.

Front

If the probability of event A is 0.3 and the probability of event B is 0.5, what is the maximum probability of A or B occurring?

Back

The maximum probability of A or B occurring is 0.8, assuming A and B are not mutually exclusive.

Front

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

Back

1/6

Front

What is the complement of an event?

Back

The complement of an event A is the event that A does not occur, and its probability is given by P(A') = 1 - P(A).

Front

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

Back

The probability is 26/52 or 1/2, since there are 26 red cards in a standard deck.

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 occurring.