Two Way Table Probability

Front

What is a two-way table?

Back

A two-way table is a statistical table that displays the frequency distribution of two categorical variables, allowing for the analysis of the relationship between them.

Tags

CCSS.8.SP.A.4

Front

How do you calculate the probability of an event using a two-way table?

Back

To calculate the probability of an event, divide the number of favorable outcomes by the total number of outcomes represented in the table.

Tags

CCSS.8.SP.A.4

Front

What does it mean if two events are independent in probability?

Back

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

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

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

Back

P(A or B) = P(A) + P(B) - P(A and B) where A and B are two events.

Tags

CCSS.HSS.CP.B.7

Front

What is the probability that a randomly selected student plays sports and does not participate in community service if the probability is 0.1484?

Back

The probability is 0.1484.

Front

How do you find the probability of a student being male from a two-way table?

Back

Count the number of male students and divide by the total number of students in the table.

Tags

CCSS.8.SP.A.4

Front

What is the significance of the total row and column in a two-way table?

Back

The total row and column provide the sums of the frequencies for each category, which are essential for calculating probabilities.

Tags

CCSS.8.SP.A.4

Front

If a student does not play an instrument, how do you find the probability they do not play on a sports team?

Back

Use the conditional probability formula: P(Not Sports | Not Instrument) = P(Not Sports and Not Instrument) / P(Not Instrument).

Tags

CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

Front

What does it mean to find the probability of a student being Female or earning a B?

Back

It means calculating the probability that a randomly selected student is either Female or has earned a B grade, using the union of the two events.

Tags

CCSS.HSS.CP.B.7

Front

What is the total probability rule in the context of two-way tables?

Back

The total probability rule states that the sum of the probabilities of all possible outcomes must equal 1.