A deck of 52 playing cards is shuffled. What is the probability of drawing a heart or a diamond card?
Question
A deck of 52 playing cards is shuffled. What is the probability of drawing a heart or a diamond card?
Solution
A standard deck of 52 playing cards contains 4 suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards: A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K.
So, there are 13 hearts and 13 diamonds in the deck.
The probability of drawing a heart or a diamond is the sum of the probability of drawing a heart and the probability of drawing a diamond.
The probability of drawing a heart is 13 (the number of hearts) divided by 52 (the total number of cards), which is 13/52 = 0.25.
Similarly, the probability of drawing a diamond is also 13/52 = 0.25.
So, the probability of drawing a heart or a diamond is 0.25 + 0.25 = 0.5, or 50%.
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