Multiple choice

From a pack of playing cards all cards whose numbers are multiple of 3 are removed. A card is now drawn at random. Then the probability that the card is drawn is an even number is a red card:

  1. $\displaystyle \frac { 10 }{ 52 } $
  2. $\displaystyle \frac { 1 }{ 4 } $
  3. $\displaystyle \frac { 1 }{ 5 } $
  4. $\displaystyle \frac { 3 }{ 13 } $
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C Correct answer
AI explanation

Removing all cards whose numbers are multiples of 3 means eliminating the 3s, 6s, and 9s from each suit, which takes away 12 cards and leaves 40 cards. The question asks for a card that is an even number and a red card, meaning we need an even red card from the remaining deck. The available even red cards are the 2s, 4s, 8s, and 10s in hearts and diamonds, giving 8 favorable cards. The probability is therefore 8 divided by 40, which equals 1/5.

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