Probability of drawing an Ace on two draws with replacement.

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Multiple Choice

Probability of drawing an Ace on two draws with replacement.

Explanation:
With replacement, each draw is independent because you put the card back, so the chance on every draw stays the same. A single draw has 4 aces out of 52 cards, which is 1/13. For two independent draws, multiply the probabilities: (1/13) × (1/13) = 1/169. So the probability of getting an Ace on both draws is 1/169. Note: if you didn’t replace the card, the second draw would change the odds (4/52 × 3/51 = 1/221), but this question specifies replacement.

With replacement, each draw is independent because you put the card back, so the chance on every draw stays the same. A single draw has 4 aces out of 52 cards, which is 1/13. For two independent draws, multiply the probabilities: (1/13) × (1/13) = 1/169. So the probability of getting an Ace on both draws is 1/169.

Note: if you didn’t replace the card, the second draw would change the odds (4/52 × 3/51 = 1/221), but this question specifies replacement.

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