Given that the events are not mutually exclusive the union of the probability of the events is calculated through the equation,
P(Q or R) = P(Q) + P(R) - P(Q and R)
Substituting the known values,
P(Q or R) = 5/8 + 1/8 - 1/32
Simplifying,
P(Q or R) = 23/32
The answer to this item is 23/32.