Multiple choice

One card is drawn from a well-shuffled deck of $52$ cards. Find the probability of getting a queen or jack card.

  1. $\dfrac{4}{13}$
  2. $\dfrac{1}{26}$
  3. $\dfrac{3}{13}$
  4. $\dfrac{2}{13}$
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D Correct answer
Explanation

There are 4 queens and 4 jacks in a deck of 52 cards. Total favorable outcomes = 4 + 4 = 8. Probability = 8/52 = 2/13.

AI explanation

Using the addition theorem of probability for mutually exclusive events, the total number of favorable outcomes is the sum of the 4 queens and the 4 jacks, which is 8 cards. The probability of drawing one of these 8 cards from a 52-card deck is 8 divided by 52. This simplifies to 2/13.

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