Multiple choice

A card is drawn at random from well shuffled pack of $52$ cards. Find the probability that the card drawn is a spade:

  1. $\displaystyle \frac{1}{4}$
  2. $\displaystyle \frac{1}{3}$
  3. $\displaystyle \frac{1}{2}$
  4. $\displaystyle \frac{3}{4}$
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A Correct answer
Explanation

A standard deck has 52 cards, and there are 13 cards of each suit. The probability of drawing a spade is 13/52, which simplifies to 1/4.

AI explanation

The sample space for drawing a card from a well shuffled pack of 52 cards contains 52 total outcomes. Since there are 13 spades in a standard deck, the number of favorable outcomes is 13. Using the classical definition of probability, which is the ratio of favorable outcomes to total outcomes, the probability of drawing a spade is 13 divided by 52. This simplifies to 1/4, giving the result 1/4.

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