Question

6 cards are dealt from a standard deck of 52 cards.  In this particular deck, there are four joker cards.  What is the...


6 cards are dealt from a standard deck of 52 cards.  In this particular deck, there are four joker cards.  What is the probability that a hand contains a 2,3,4,5 and 6 from any suit, with the addition of a joker card?

 

 

Answer

There are 52 cards in a standard deck. 

We can pick a group of 6 cards from 52 cards in  52C6 ways.

Probability homework question answer, step 1, image 1

 

Now we have to pick 2,3,4,5 and 6 from any suit, with the addition of a joker card. 

There are 4 suits. All suits have 2,3,4,5,6 and joker

So we can pick each card in 4 ways. 

So total (4x4x4x4x4x4)=46=4096 choices

So the probability of picking 2,3,4,5 and 6 from any suit, with the addition of a joker card is:

Probability homework question answer, step 2, image 1

 

 

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