A card is chosen at random from a deck of 52 cards. What is the probability that a heart or spade is chosen?

My work:
52 total cards

13/52
13/52
( Probability for both )

Simplify to
1/4
1/4

Multiply
1/16

My Answer Choices

1/2
1/4
1/13
1

What did I do wrong?

Question

A card is chosen at random from a deck of 52 cards. What is the probability that a heart or spade is chosen? 

My work:
52 total cards

13/52
13/52
( Probability for both )

Simplify to 
1/4
1/4

Multiply
1/16

My Answer Choices

1/2
1/4
1/13
1

What did I do wrong?

reneeshumpert · Answer

@Mehek14

agent0smith · Answer

The word or implies addition not multiplication of probabilities.

reneeshumpert · Answer

So everything was correct until I multiplied or?

agent0smith · Answer

Yep.

reneeshumpert · Answer

but wouldnt that make it 1/8 ? which still wouldnt be right

agent0smith · Answer

That's not how you add fractions, remember :P you never ever add denominators together.

reneeshumpert · Answer

so 2/4 which you would simplify to 1/2 ? am I correct

agent0smith · Answer

Yes.

reneeshumpert · Answer

thank you

agent0smith · Answer

Welcome.