The probability of passing the math class of Professor Goodrum is 59%,

the probability of passing Professor Cruise's physics class is 26%,
and the probability of passing both is 17%.
What is the probability of passing one or the other?

To find the probability of passing one or the other class, we need to add the probability of passing only the math class and the probability of passing only the physics class, but subtract the probability of passing both (since we would be counting it twice otherwise).

Let P(M) be the probability of passing the math class and P(P) be the probability of passing the physics class.

Thus, we can calculate:

P(passing one or the other) = P(M) + P(P) - P(passing both)
= 0.59 + 0.26 - 0.17
= 0.68

Therefore, the probability of passing one or the other is 0.68, or 68%.