A Card is Drawn

Probability Level 2

A card is drawn from a deck of 52 cards. What is the probability that this card is an Ace or a Queen or a Spade or a Diamond. What is P P (Ace or Queen or Spade or Diamond)?

Round your answer to three decimal places.


The answer is 0.577.

Hana Wehbi by Hana Wehbi , 51, USA

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1 solution

There are 4 4 Aces, 4 4 Queens, 13 13 Spades and 13 13 Diamonds in a deck of 52 52 cards. However, there are spade and diamond queen and spade and diamond ace, so we have to subtract 4 4 cards that we have counted twice. Therefore, the asked probability is

13 + 13 + 4 + 4 − 4 52 = 30 52 ≈ 0.577 \frac { 13+13+4+4-4 }{ 52 } =\frac { 30 }{ 52 } \approx 0.577 .

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Very nice work.

Hana Wehbi - 5 years ago

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