What are the odds in favor of drawing a card higher than a jack from an ordinary deck of cards?
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To find the odds in favor of drawing a card higher than a jack from an ordinary deck of cards, we need to determine the number of favorable outcomes (cards higher than a jack) and the number of possible outcomes (total cards in the deck).
First, let's calculate the number of favorable outcomes:
In a standard deck of 52 cards, there are 4 jacks (one of each suit). Therefore, since we want to draw a card higher than a jack, there are 52 - 4 = 48 favorable outcomes.
Next, let's determine the number of possible outcomes:
Since we are drawing from a standard deck of 52 cards, there are 52 possible outcomes.
Finally, we can find the odds in favor by dividing the number of favorable outcomes by the number of possible outcomes:
Odds in favor = Favorable outcomes / Possible outcomes
Odds in favor = 48 / 52
Simplifying the fraction, we get:
Odds in favor = 12 / 13
So, the odds in favor of drawing a card higher than a jack from an ordinary deck of cards are 12 to 13.