SIS 15.1 to 15.3 Warm-up

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 and 1, where 0 indicates impossibility and 1 indicates certainty.

Front

Define Venn Diagram.

Back

A Venn Diagram is a visual representation of the relationships between different sets, often used to illustrate the overlap between them.

Front

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

Back

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

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.

Front

How do you calculate the probability of the union of two events?

Back

The probability of the union of two events A and B is calculated as P(A or B) = P(A) + P(B) - P(A and B).

Front

What is 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

What is the complement of an event?

Back

The complement of an event A, denoted as A', is the event that A does not occur. The probability of the complement is P(A') = 1 - P(A).

Front

How do you find the probability of an event not occurring?

Back

The probability of an event not occurring is found by subtracting the probability of the event from 1, i.e., P(not A) = 1 - P(A).

Front

What is the probability of drawing a card that is either a heart or a queen from a standard deck of cards?

Back

P(Heart or Queen) = P(Heart) + P(Queen) - P(Heart and Queen) = 13/52 + 4/52 - 1/52 = 16/52 = 4/13.

Front

Explain the concept of joint probability.

Back

Joint probability is the probability of two events occurring at the same time, denoted as P(A and B).