Multiple choice

Three cards are drawn from a pack of $52$ cards with replacement, find the probability of getting $3$ red cards.

  1. $\dfrac{7}{8}$
  2. $\dfrac{5}{4}$
  3. $\dfrac{3}{8}$
  4. $\dfrac{1}{8}$
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D Correct answer
Explanation

Probability of drawing a red card in one draw is 26/52 = 1/2. Since the cards are drawn with replacement, the probability of drawing 3 red cards is (1/2)^3 = 1/8.

AI explanation

Using the multiplication theorem for independent events, the probability of drawing three red cards with replacement is the product of the individual probabilities. A pack of 52 cards contains 26 red cards, so the probability of drawing a red card in one attempt is 26 divided by 52, or 1 divided by 2. Because the card is replaced each time, the probability of drawing three red cards in a row is 1/2 multiplied three times, which equals 1/8.

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