Multiple choice

Two cards are drawn from a pack of cards with replacement, find the probability of getting a heart both the times

  1. $\dfrac {1}{16}$
  2. $\dfrac 25$
  3. $\dfrac 19$
  4. $\dfrac 29$
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A Correct answer
Explanation

In a standard deck of 52 cards, there are 13 hearts, so the probability of drawing a heart in a single draw is 13/52 = 1/4. Since the cards are drawn with replacement, the two draws are independent, making the probability of getting a heart both times (1/4) * (1/4) = 1/16.

AI explanation

The probability of drawing a heart from a standard 52-card deck is 13/52, which simplifies to 1/4. Because the first card is replaced, the events are independent and the probability remains 1/4 for the second draw. By the multiplication rule for independent events, the probability of getting a heart both times is 1/4 * 1/4 = 1/16.

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