Multiple choice

If a card is drawn from a pack of $52$ cards. Find the probability of getting a card bearing the number between $2$ and $5$ including $2$ and $5$:

  1. $\displaystyle \frac{3}{13}$
  2. $\displaystyle \frac{4}{13}$
  3. $\displaystyle \frac{5}{13}$
  4. $\displaystyle \frac{6}{13}$
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B Correct answer
Explanation

Cards bearing numbers 2, 3, 4, 5 are 4 values. In a deck, there are 4 suits, so 4 * 4 = 16 cards. Probability = 16 / 52 = 4 / 13.

AI explanation

The required numbers are 2, 3, 4, and 5, which means there are 4 such cards in each of the 4 suits, giving a total of 16 favorable cards. The probability formula is the number of favorable outcomes divided by the total outcomes, which is 16/52. Simplifying this fraction by dividing the numerator and denominator by 4 gives 4/13.

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