Some standardized tests, such as the sat test, incorporate a penalty for wrong answers. for example, a multiple-choice question with five possible answers will have 1 point awarded for a correct answer and 1/4 point lost for an incorrect answer. find the expected number of points (mean) received for a multiple-choice question with five possible answers when a student just guesses at random.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.