2. In a 52 card deck, the first card randomly drawn is Jaok Que an ace. If the ace is not put back into the deck, what is the probability that the second card drawn is an ace? 10 Jack Queen 10 Jack Queen King A. 3/52 1 Pt B. 4/52 A B D Jack Quee C. 3/51 D. 4/51

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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**Question:**

2. In a 52 card deck, the first card randomly drawn is an ace. If the ace is not put back into the deck, what is the probability that the second card drawn is an ace?

**Options:**

A. 3/52
B. 4/52
C. 3/51
D. 4/51

**Explanation:**

- The first card is an ace.
- This ace is not replaced back into the deck.
- The deck now contains 51 cards instead of 52.
- There are originally 4 aces in a 52-card deck. After drawing one ace, 3 aces remain in the deck of 51 cards.

Therefore, the probability that the second card drawn is an ace is:

\[ \frac{3}{51} \]

So the correct answer is **C. 3/51**.
Transcribed Image Text:**Question:** 2. In a 52 card deck, the first card randomly drawn is an ace. If the ace is not put back into the deck, what is the probability that the second card drawn is an ace? **Options:** A. 3/52 B. 4/52 C. 3/51 D. 4/51 **Explanation:** - The first card is an ace. - This ace is not replaced back into the deck. - The deck now contains 51 cards instead of 52. - There are originally 4 aces in a 52-card deck. After drawing one ace, 3 aces remain in the deck of 51 cards. Therefore, the probability that the second card drawn is an ace is: \[ \frac{3}{51} \] So the correct answer is **C. 3/51**.
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