Acard is drawn from a standard deck of cards. determine whether the events are mutually exclusive or inclusive. then, find the probability. p(a 4 or a club)

The events are not mutually exclusive because there is a 4 of clubs (both a 4 and of the club suit). So the probability we want would be



There are four 4's in the deck, so the probability of drawing a 4 is



(I use the binomial coefficient here just to illustrate how we're counting the number of ways to draw a 4. There are four possible ways to draw one of them, i.e. 4 choose 1. On the other hand, we are not drawing any of the other 48 remaining cards, i.e. 48 choose 0. In the denominator, we're drawing 1 card from 52, i.e. 52 choose 1.)
There are 13 clubs in total, so the probability of drawing just 1 one of them is



There is only one 4 of clubs in the deck. The probability of drawing it is



So the probability we care about is