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A card is chosen at random from a standard deck of 52 cards. What is the probability that the card is a Queen or a \(\diamondsuit\) (or both)?

 Jun 22, 2020
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We can simply add the probabilities.

 

There are 4 queens, 3 of which are none- spade.

 

Thus, 3/52 chance of non-spade queen. 

 

13 spades, 12 non-queen. 12/52

 

1 spade-queen, 1/52

 

Or you could add them all and subtract 1/52, since you'd be adding 2 copies of the spade-queen(1 with spades, other with queen)

 

Thus (3+12+1)/52 = 16/52

 

You can simplify that.

 Jun 22, 2020

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