# impossible scores

Submitted by Visitor on Wed, 07/16/2008 - 06:02

My brother and I were talking about impossible hands to get. We have always known that 19 is an impossible hand to get. It has even been passed down in our family that if you get a 0 when counting a hand that you got a 19. But we were trying to figure out if a 25, 26, or 27 was possible. Can any one clear this up for us and if you can get them, how?

## 25, 26 and 27

Yes, 25, 26 and 27 are all impossible cribbage scores, along with 19!

It might be interesting to try and prove it though!

## I proved it...

recently I made a java program to score cribbage hands, then added to it so it can take your 5 card hand and tell you the best card to give to the crib(averages scores for each possible 4 card hand with 47 possible face cards, adds possible points if your crib, detracts if opponent's). I saw this post and decided to try and prove that there are no 19, 25, 26, or 27 point hands, so I adjusted the program so it would loop through every possible cribbage hand(12,994,800), score each one and count it. These are my results:

0: 7.764705882352942%

1: 0.7679379444085327%

2: 21.653245913750116%

3: 3.88623141564318%

4: 21.975528673007666%

5: 5.3675931911226025%

6: 13.853756887370333%

7: 5.781728075845723%

8: 8.751469818696709%

9: 2.7797580570689813%

10: 2.9915042940253023%

11: 0.39769754055468337%

12: 2.442053744574753%

13: 0.15126050420168066%

14: 0.6933542647828362%

15: 0.07055129744205374%

16: 0.4482408347954566%

17: 0.08615753993905255%

18: 0.02083910487271832%

19: 0.0%

20: 0.062086373010742754%

21: 0.01920768307322929%

22: 0.0034167513159109797%

23: 0.002739557361406101%

24: 0.02831901991565857%

25: 0.0%

26: 0.0%

27: 0.0%

28: 0.0005848493243451226%

29: 0.000030781543386585404%

## You did in fact prove that

You did in fact prove that those hands cannot be scored, but these statistics are everywhere including books and online sites. Your program cannot tell what card is the "best" to throw into the crib (yours or your opponents). That can only be determined by board position, tendencies of your pone and other factors.

## 19 hand

Ive always been taught that you cannot get a 19 in cribbage also but while playing the other night my sons hand was: 33345 which would be 19 wouldnt it?

## 33345 is: three runs of 3 =

33345 is: three runs of 3 = 9: THREE PAIRS = 6; AND THREE 15A =6. 21 total.

## OK, try this one then. QJ55,

OK, try this one then. QJ55, 5 is cut in the suit of the jack in hand. 6 15s for 12, 3 of a kind for 18, and one for his nob makes 19 points. Did we do something wrong here? My brother just scored this

## QJ55

That hand is 21. You have missed out the 15 from the three fives.

IT IS IMPOSSIBLE TO SCORE 19. FACT!!

## We just had a 19 point

We just had a 19 point hand!

Three 5s and a Jack of hearts and the turn up card was a Q of hearts.

## No you did not

Nice try though. There are no 19 point hands in cribbage. You just had a 21 point hand, which is WAY better than having zero. Remember that three fives is also 15. Send me my dollar please.

## You might be missing 5-5-5 =

You might be missing 5-5-5 = 15. I see 15 x 3 (Jack + 5), x3 again (Queen + 5), x1 (5-5-5) for 14 points, then 6 points for 3-of-a-kind, and one for his nob is 21.

## j5 2 j5 4 j5 6 q5 8 q5 10 q5

j5 2

j5 4

j5 6

q5 8

q5 10

q5 12

555 14

555 17

his nobs 18

## You forgot to count 5+5+5 =

You forgot to count 5+5+5 = 15 for two.

## Really is 21. 6 6 6 2 1

Really is 21. 6 6 6 2 1

## Yup don;t let your brother teach math

As you can see, getting 19 is impossible. Lets look at QJ55 with a 5 starter card of the same suit as the jack. You thought you had 19, but you really had 21 points. You missed the three 5s equals 15 and the missing two points. You owe me a dollar.

## 21 ... missed the 5-5-5 = 15

21 ... missed the 5-5-5 = 15 ...

## The 3 5's also make 15

The 3 5's also make 15 therefore the hand is 21 not 19

## 3 fives = 15 also

3 fives = 15 also

## There are actually 7 15s,

There are actually 7 15s, which makes 14 pts., plus 3 of a kind for 6 pts., and the matching jack for 1 pt. That makes the hand worth 21.

## reply

No it is 21. You missed the three 5's equalling another 2 points

## That is a 21 hand. You forgot

That is a 21 hand. You forgot the three 5's resulting in another 15

## You missed a 15

Triple 5s scores another 15 for 2. His score was 21, not 19.

## That is a 21 point

That is a 21 point hand:

three runs of three for 9 points

three sets of 15 points for 6

three pairs of 3 for 6 points

Adds up to 21 points

## score

triple run= 15 pts

3,3,3,,4,5 = 3 15's = 6 more pts = 21 t total pts

## 33345

I think your missing a 15 for two thats a 21 point hand

## 33345

I think your missing a 15 for two thats a 21 point hand

## reply

no it would be 21.

5+4+3+3 = 15 (using the two three's on the left) = 2

5+4+3+3 = 15 (using the two threes on the right) = 2

5+4+3+3 = 15 (using the three on each end) = 2

Plus 3 runs of 3 = 9

Plus three pairs of threes = 6

2+2+2+2+9+6 = 21 not 19

## Hand of 19

Your son's hand : 33345 is worth 21 points. You get 6 points for the 3 15s, 3 runs of 3 cards (3-4-5) for 9 pts, and finally 6 pts for 3 of a kind.

So you add 6+9+6 = 21.

Cheers, Y.

## This would equal 21. there

This would equal 21.

there are 3 combinations of 3,3,4,5 (15) so this would score 6

there are 3 combinations of 3,3 (Pair/2 of a kind) this would also score 6

there are 3 combinations of 3,4,5 (Run/straight) this would score 9

9+6+6=21 therefore this hand would score 21 not 19

## You have one too many cards

You have one too many cards in your hand for cribbage you should only have 4 in your hand because you have to put two in the crib.

## 21

21

## Re: I proved it

Not going to get into all of the silly claims that scores of 19, 25, 26, or 27 are possible other than to say NO!!!

But I *am* curious how you figured that there are 47 possible up cards.

## 19 hand

you are dealt;

Jack Clubs

King Hearts

Five Diamonds

Five Hearts

and the cut is;

Five Spades.

15's = 13 points

pairs = 6 points

Total 19 points. Simples.

## Re: 19 hand

Actually, your hand scores 15-12 and 6 for the pairs, making 18 in total.

If you think about it, 15s can never make an odd score as they are worth 2 points each.

## Actually, the correct score

Actually, the correct score is 20. 15-14 and 6 for the pairs.

## Re: Actually, the correct score

Quite right! I guess three fives make 15...

Good to know people are paying attention.

## Don't forget Nobs (the right Jack, as we say in our family)

The actual score would be 21. 14 points in 15's, three fives for six (or six fives, also as we say in our family), then the right jack (nobs) for a total of 21.

## Nobs?

Not for that hand. Your Jack is the wrong suit. 20 points.

## The correct score for this

The correct score for this hand is indeed 20 points 14 points for the 15's and six for the pair no nids for the Jack because the wrong Suit is cut

## I do not agree you have 15

I do not agree you have 15 -12 with the jack and king. the three fives make another 15 so it is 15 -14 and the three fives make 6 for 20 points. I'll take your 1 point you missed

## total 19 points

If the individual was dealt the jack of spades would this not create a score of 19 since you have the jack of nobs??

## error

15s equal up to 14 points ur incorrect its a twenty point hand

## 19 hand

I have a 19 hand;

I have in my hand;

Jack of Spades

Queen of Hearts

Five of Clubs

Five of Diamonds

The cut was then the Five of Spades

15s = 12 points

Three fives = 6 points

Jack of Trump = 1 point

Total of 19 points

Can this be possible??

WOW

## You know better don't you?

Of course it cannot be possible. That's why we call a blank hand a 19 hand. So, you've missed some points is all. I'm going to go way out on a limb and say it was the missing 2 points from the three 5's (for 15) that you missed. Score that hand 21.

## 20 points

20 points

## you did not count the 3 fives

you did not count the 3 fives as one more 15

## No such thing as a 19 point hand, only a "19 hand"

What is 5 plus 5 plus 5? Yours is a 21 point hand.

## 5,5,5 is 15 that's 14 for 15

5,5,5 is 15 that's 14 for 15 plus 6 for 3 of a kind is 20 moron

## Plus the jack same suite. 21.

Plus the jack same suite. 21. Moron.

## If you had the jack of

If you had the jack of spades, you would then have 19.

## $1000 offer

Please let us put this discussion to bed. You cannot make 19 points in cribbage. Ever. I will make this deal. If you can show me how you can make 19 in a cribbage hand and prove it, I will pay you $1000. If, however; you are wrong, you promise to pay me $1.00. Are there any takers out there?