Arithmetic Ability
Permutations and Combinations

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Q.

If two cards are taken one after another without replacing from a pack of 52 cards. What is the probability for the two cards be Ace ?

View Answer

Correct choice: C

Explanation:

Total Combination of getting a card from 52 cards = 52C1 Because there is no replacement, so number of cards after getting first card= 51 Now, Combination of getting an another card= 51C1 Total combination of getting 2 cards from 52 cards without replacement= (52C1×51C1) There are total 4 Ace in stack. Combination of getting 1 Ace is = 4C1 Because there is no replacement, So number of cards after getting first Ace = 3 Combination of getting an another Ace =3 C1 Total Combination of getting 2 Ace without replacement=4C1×3C1 Now,Probability of getting 2 cards which are Ace =4C1×3C1/52C1×51C1 = 1/221.
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