  in cribbage the card game, I hand of six cards is dealt from a normal deck of 52 cards. What is the probability that you will have all four fives and at least one Jack ?

Question

in cribbage the card game, I hand of six cards is dealt from a normal deck of 52 cards. What is the probability that you will have all four fives and at least one Jack ?

Step 1

Gven that a hand of six cards is dealt from deck of 52 cards.

We need probability that we have all fives and at least one Jack.

So the hand can contain four fives, one jack,any card other than Jack and four fives and two jacks.

Total number of fives in deck of cards = 4

Total number of Jacks in deck of cards = 4

number of ways of getting all 4 fives = 4C4 = 1

number of ways of getting a Jack = 4C1 = 4

number of ways of getting any card other than five or Jack = 4...

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Basic Probability 