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?
There are 52 cards in a standard deck.
We can pick a group of 6 cards from 52 cards in 52C6 ways.
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: