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From a pack of 52 cards, 3 cards are drawn. What is the probability that one is ace, one is queen and one is jack?

A. $$\frac{{19}}{{5525}}$$

B. $$\frac{{21}}{{5525}}$$

C. $$\frac{{17}}{{5525}}$$

D. $$\frac{{16}}{{5525}}$$

Answer: Option D

Solution(By Examveda Team)

Required probability:
$$\eqalign{ & = \frac{{^4{C_1}{ \times ^4}{C_1}{ \times ^4}{C_1}}}{{^{52}{C_3}}} \cr & = \frac{{4 \times 4 \times 4}}{{22100}} \cr & = \frac{{16}}{{5525}} \cr} $$

This Question Belongs to Arithmetic Ability >> Probability

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