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If you draw one card from a normal deck of cards, what is the probability that it will be a Jack, Queen, King, heart or diamond?

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mathematics

To figure out the odds for this draw, the key is to count all the unique cards that meet the criteria without counting any card more than once. A standard 52-card deck is split into four suits: hearts, diamonds, clubs, and spades. Hearts and diamonds are the red suits, while clubs and spades are the black suits. Each suit contains 13 cards.

First, let's count all the hearts (13 cards) and all the diamonds (13 cards). This gives us a total of 26 cards. Now we need to account for the Jacks, Queens, and Kings. We have already counted the Jack, Queen, and King of hearts, as well as the Jack, Queen, and King of diamonds within our initial 26 cards. To avoid double-counting, we only need to add the face cards from the remaining two suits: the Jack, Queen, and King of clubs (3 cards) and the Jack, Queen, and King of spades (3 cards).

Adding these 6 unique face cards to our 26 red cards gives us a grand total of 32 successful outcomes. Since there are 52 possible cards to draw from the deck, the probability is 32 out of 52. This fraction simplifies to 8/13, which means you have just over a 61% chance of drawing one of the specified cards.