Probability models and how to find the probabilities of events Practice Test

The spades and the aces are removed from a standard deck of 52. Give the probability that a card drawn at random will be a red three.

A standardized test comprises five examinations: reading, writing, math, science, and social studies, and these examinations may be taken in any order; however, in one state, there is one restriction: neither the writing nor the math test may be taken last.

In how many different orders can the five tests be taken so that this restriction is met?