Question

Which of the following are independent events?

A. Knowing that you have to get up early tomorrow, and going to bed before 9 p.m.
B. Knowing that you have a test in school tomorrow, and studying the night before
C. Knowing that it is going to rain tomorrow, and bringing an umbrella to school
D. Knowing that you have a test in school tomorrow, and bringing an umbrella to school

Answer 1

Option D describes independent events since the occurrence of a test and the decision to bring an umbrella are unrelated.

Step-by-step explanation:

The question is asking which scenarios describe independent events. Independent events are occurrences where one event's outcome does not affect another's outcome. In this case, the correct answer is D. Knowing that you have a test in school tomorrow and bringing an umbrella to school. The occurrence of a test has no impact on whether it rains or not, making the decision to bring an umbrella unrelated to the test. Therefore, these two events are independent of each other.

Answer 2

Option D

Step-by-step explanation:

To show : which of the statements is independent event

By definition of independent events, if there are two things occurred then the occurrence of first event is not dependent on occurrence of second event or vice versa.

if we notice in all statement occurrence of first event is dependent on occurrence of second event except the last one as knowing that you have a test in a school tomorrow and bringing an umbrella to school have no such dependency or need.

Therefore Option D is independent event