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The odds of getting any two specific differently-valued cards from a normal 52-card deck are 8/663.

The odds of drawing any particular value from a fresh deck are 4/52 or 1/13; since we don't care if the first card is the 5 or the J, that doubles the odds to 2/13.

The second one, however, has to be the suit we didn't get the first time. The odds of this are now 4/51.

Multiplying these two values together we get 8/663. Expressed as a percentage, that's slightly over 1.2%.

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Q: What is a 5 and a jack as a percentage in a deck of cards?
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