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4 cards are drawn at a …

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4 cards are drawn at a time from a pack of 52 cards find the probability of getting all the 4 cards of the same suit. 

 

  • 1 answers

Arun Soni 6 years, 9 months ago

Four cards can be selected from 52 cards in 52C4 ways. 
Now, there are four suits, e.g. club, spade, heart and diamond each of 13 cards. 
So total number of ways of getting all the four cards of the same suit:
⇒ 13C4+13C4+13C4+13C4=4×13C4

{tex}\therefore{/tex} the probability of getting 4 cards from the same suit={tex}\frac{{4{ \times ^{13}}{C_4}}}{{^{52}{C_4}}}{/tex}

{tex}\frac{{198}}{{20825}}{/tex}

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