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  • Three cards were drawn from a pack of cards. The probability that they are a king, a queen, and

Three cards were drawn from a pack of \mathbf{5 2} cards. The probability that they are a king, a queen, and a jack is

Option: 1

\frac{16}{5525}


Option: 2

\frac{64}{2197}


Option: 3

\frac{3}{13}


Option: 4

\frac{8}{16575}


Answers (1)

best_answer

No. of ways of drawing a king, a
Queen and a jack =4 \times 4 \times 4=64

and total no. of ways of drawing 3 cards ={ }^{52} \mathrm{C}_3

=\frac{52 \times 51 \times 50}{3 \times 2 \times 1}=22100

So the required probability

=\frac{64}{22100}=\frac{16}{5525}

Posted by

Riya

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