Which of the following statements about any two events A and B is true?

A.
\(\quad P(A \cup B)=0\) implies events A and B are independent.
B.
\(\quad P(A \cup B)=1\) implies events A and B are mutually exclusive.
C.
\(\quad P(A \cap B)=0\) implies events A and B are independent.
D.
\(\quad P(A \cap B)=0\) implies events A and B are mutually exclusive.
E.
\(\quad P(A \cap B)=P(A)-P(B)\) implies A and B are equally likely events.
Statistics
AP
College Board
Exam No:AP Statistics Problem Set 11 Year:2024 Question No:APStatistics2024AP0462

Answer:

D

Knowledge points:

4.3 Introduction to Probability
4.5 Conditional Probability
4.6 Independent Events and Unions of Events

Solution:

Download APP for more features
1. Tons of answers.
2. Smarter Al tools enhance your learning journey.
IOS
Download
Android
Download
Google Play
Download