u/freddyfreddy11

Hey everyone! We have a discussion since playing Yahtzee two days ago and still can’t agree on the mathematically best decision, so maybe someone here can help us settle it.

Everything on my scorecard was already filled in except 3s and 6s. I needed to reach at least 63 points in the upper section to get the bonus.
For 1s, 2s, 4s and 5s, I had exactly three of each, giving me 36 points so far. So I needed at least 27 more points from my 3s and 6s.
My first roll was:
3 – 6 – X – X – X
The other three dice were irrelevant.
So the question is: Should I keep the 3 or the 6?

We have two completely different opinions, and I’d love to know which choice actually gives me the higher probability of reaching the 63-point bonus.

If someone can explain the math behind the optimal strategy, we would be very than grateful!

Ich war noch voll klein, aber der Moment ist mir voll hängen geblieben. Das war einfach das letzte Spiel von Zidane und er hat mit seiner roten Karte voll dramatisch seine Karriere beendet. Aber ich erinnere mich an den Italiener im Slip. Was für komisch Sachen sind euch im kopf geblieben von früher?