A card 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)

I know the probability is 4/13 But I need help determining whether or not it's mutually exclusive or inclusive.

Question

A card 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)

I know the probability is 4/13 But I need help determining whether or not it's mutually exclusive or inclusive.

anonymous · Answer

Is it inclusive because it can be a 4 and a club at the same time?

anonymous · Answer

Or is it, 17/52?

anonymous · Answer

first of all how many cards are there in your deck of cards? second of all, how many 4's are there and how many clubs are there?

anonymous · Answer

52 cards in a deck. 4 fours, 13 clubs.
13+4=17
17/52 and the card you pull can be both a club and a four. SO that means they are inclusive

mathstudent55 · Answer

The 13 clubs includes one of the 4's, so the number of desired outcomes is 13 + 3.
The total number of outcomes is 52.

anonymous · Answer

your right if I'm not mistaken

anonymous · Answer

so back to 4/13 @mathstudent55

anonymous · Answer

16/52 simplifies to 4/13

mathstudent55 · Answer

It's not mutually exclusive as was stated earlier because there is a 4 among the 13 clubs.

anonymous · Answer

Ok Thank you, I believe I understand now. :)

mathstudent55 · Answer

Great. You're welcome.