8(10 points). which of these relations on the set of all functions from z to z are equivalence relations? determine the properties of an equivalence relation that the others lack. (b) {(f, g) i f(0) g(0) or f(1)-g(1)} (e) ((u. g) i f(x)-9()1 for all r z) (d) {(f, g) | (e) ((f. g)if(0) g(1) and f(1) g(0) for some ce z, for all z e z, f(a) -g(x) = c}

step-by-step explanation:

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.

i'm not really sure how to answer that

step-by-step explanation: