Is this your card? A standard deck of playing cards (with jokers removed) consists of 52 cards in four suits鈥攃lubs, diamonds, hearts, and spades. Each suit has 13 cards, with denominations ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king. The jacks, queens, and kings are referred to as 鈥渇ace cards.鈥 Imagine that we shuffle the deck thoroughly and deal one card. The two-way table summarizes the sample space for this chance process based on whether or not the card is a face card and whether or not the card is a heart.
| Type of card |
| Face card | Non-Face card | Total |
| Heart |
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| Non-Heart |
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| Total |
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Are the events 鈥渉eart鈥 and 鈥渇ace card鈥 independent? Justify your answer.