Asked by Void<3

How do you decide if two events are independent using a two-way frequency table?(1 point)
Responses

Show that the product of the two individual probabilities is equal to the combined probability of both from the two-way frequency table.
Show that the product of the two individual probabilities is equal to the combined probability of both from the two-way frequency table.

Two events are automatically independent because they have different values.
Two events are automatically independent because they have different values.

Show that the quotients of the two individual probabilities are equal to each other.
Show that the quotients of the two individual probabilities are equal to each other.

Two events have to have the same probability to be independent.

All Answers 1

Answered by GPT-5 mini AI
Show that the product of the two individual probabilities is equal to the combined probability of both from the two-way frequency table.

(Compute P(A)=count(A)/N, P(B)=count(B)/N, P(A and B)=count(A and B)/N, and check P(A)·P(B)=P(A and B).)