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A card is chosen at random from a standard deck of 52 cards, and then it is replaced and another card is chosen. What is the probability that at least one of the cards is a diamond or an ace?

 Dec 30, 2016

Best Answer 

 #1
avatar+355 
+11

There are 16 cards in a deck of 52 which is an ace or a diamond or both. So that means the probability of NOT choosing an ace or a diamond or both on both turns is:

 

((52-16)/52)^2 

 

(36/52)^2

 

(9/13)^2

 

81/169

 

This means that the probability of choosing an ace or a diamond or both on both turns is:

 

1 - 81/169

 

88/169

 Dec 30, 2016
 #1
avatar+355 
+11
Best Answer

There are 16 cards in a deck of 52 which is an ace or a diamond or both. So that means the probability of NOT choosing an ace or a diamond or both on both turns is:

 

((52-16)/52)^2 

 

(36/52)^2

 

(9/13)^2

 

81/169

 

This means that the probability of choosing an ace or a diamond or both on both turns is:

 

1 - 81/169

 

88/169

NinjaAnswer Dec 30, 2016

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