For the experiment, determine the two given events are independent. The answers are guessed on a twenty-question multiple-choice test. The events are "the first question is correct" and "the second answer is correct". Are the two events independent or not independent?

Question

03-11-2022
Mathematics

contestada

For the experiment, determine the two given events are independent. The answers are guessed on a twenty-question multiple-choice test. The events are "the first question is correct" and "the second answer is correct". Are the two events independent or not independent?

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ShaindelV47783 ShaindelV47783 · Answer 1 · 2022-11-03T17:52:43+01:00

Two events are independent when one of the events happen and the result does not affect on the result for the second event.

In this case if we have multiple-choice answers on the test the probability of having the correct answer for both of them is the same, however if we get the first one correct it does not mean that we will have the second answer correct.

For this reason the events are independent.