Question
Download Solution PDFFrom a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being queen?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven :
Number of cards = 52
Formula used:
nCr = n! / (n-r)! r!
Calculation :
Two cards can be drawn from a pack of 52 cards in
⇒ 52C2 ways
⇒ 52 × 51 / 2
⇒ 1326 ways
The situation that 2 queen appear in a single draw can appear in
⇒ 4C2 ways
⇒ 6 ways .
The probability of both the cards drawn are queens
⇒ 6 / 1326
⇒ 1 / 221
Hence, the correct answer is "1/221".
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