Multiple choice

If a card is drawn from a pack of $52$ cards. Find the probability of getting a black card:

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

There are 26 black cards (13 spades, 13 clubs) in a deck of 52 cards. Probability = 26/52 = 1/2.

AI explanation

Using the classical definition of probability, a standard pack contains 52 cards of which 26 are black. The probability is the number of black cards divided by the total number of cards, which is 26/52. Simplifying this fraction gives a probability of 1/2.