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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?

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Solution

A standard deck of 52 playing cards contains 4 suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards.

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 out of 52 (since there are 13 hearts in a deck of 52 cards), or 13/52 = 0.25.

Similarly, the probability of drawing a diamond is also 13 out of 52, or 13/52 = 0.25.

So, the probability of drawing a heart or a diamond is 0.25 + 0.25 = 0.5, or 50%.

Therefore, the probability of drawing a heart or a diamond card is 0.5, or 50%.

This problem has been solved

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