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A card is drawn from a deck of 52 cards. What is the probability that this card is an Ace or a Queen or a Spade or a Diamond?

 Jan 12, 2020
 #1
avatar+20254 
+2

13 spades     13 diamonds   (2 of these are queens   2 are aces)

    there are 2 more aces and 2 more queens

 

13 + 13 + 2 + 2   / 52

30/52

15/26

 Jan 12, 2020
 #2
avatar+30 
0

Hi Guest,

Let's use casework.

 

1. Ace

Since there are 4, it is 4/52

 

2. Queen

Since there are 4, it is 4/52

 

3. Spade

Since there are 13 and 2 overlap, it is 13-2/52

 

4. Diamond

Same as spade. 13-2/52

 

 

Adding gets us 2/13+11/26 which is 15/26

 

-MPS101

 Jan 12, 2020

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