GATE | GATE CS Mock 2018 | Set 2 | Question 4

The probability that the top and bottom cards of a randomly shuffled deck are both aces is –

A. \frac{4}{52} * \frac{4}{52}

B. \frac{4}{52} * \frac{3}{52}

C. \frac{4}{52} * \frac{4}{51}

D. \frac{4}{52} * \frac{3}{51}

(A) A
(B) B
(C) C
(D) D

Answer: (D)

Explanation: Prob. top card is Ace- \frac{4}{52}
Prob. bottom card is Ace- \frac{3}{51}
Prob. both top and bottom card are aces – \frac{4}{52} * \frac{3}{51}

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