Multiple choice

One card is drawn from a pack of $52$ cards.The probability of getting a $10$ of black suit is

  1. $ \displaystyle \frac{1}{26} $
  2. $ \displaystyle \frac{1}{13} $
  3. $ \displaystyle \frac{3}{26} $
  4. None

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A Correct answer
Explanation

There are 52 cards in a deck. There are two black suits (spades and clubs). Each suit has one 10. Thus, there are two 10s of black suits. The probability is 2/52 = 1/26.

AI explanation

Using the classical definition of probability, the chance of an event equals the number of favorable outcomes divided by the total number of outcomes. There are only two 10s of a black suit (10 of Spades and 10 of Clubs) in a deck of 52 cards. Therefore, the required probability is 2 divided by 52, which simplifies to 1/26.