in yahtzee after 1 roll you have 3 6's what is the odds of making yahtzee (5of a kind)?

Question

In the game yahtzee after one roll, you have three sixes. What is the probability you will make a yahtzee?

Answer 1

In Yahtzee, you have a total of 3 rolls and you have used one. Those that answered 1/36 are correct if you have only one more roll, but you actually have *two* more rolls.

Here's what can happen:
Chance of rolling two sixes on the next roll = 1/6 x 1/6 = 1/36
Chance of rolling one six on the next roll = 1/6 x 5/6 x 2 = 10/36
Chance of rolling no sixes on the next roll = 5/6 x 5/6 =25/36

In case #1, you are done
In case #2, you now have a 1/6 chance of making a Yahtzee rolling one die.
In case #3, you now have a 1/36 chance of making a Yahtzee rolling two dice.

So the total probability of rolling a Yahtzee in your next *two* rolls is: 1/36 + 10/36 * 1/6 + 25/36 * 1/36

That works out to:
36/1296 + 60/1296 + 25/1296

Add that up:
(36+ 60 + 25)/1296
= 121/1296
≈ 0.0933641975

That's about a 9.3% chance of completing your Yahtzee with two possible rolls remaining.

Answer 2

The first roll there are 36 combinations 1 is double sixs and there are 10 others that conatin a six. So the odd of rolling at least one 6 is 11/36 for the first roll. So this is 25/36 against on the first roll. The second roll is the same if no 6s are rolled the first time and 1/6 if a six is rolled. So total odds are 1/36 for one roll +(10/36 of 1 six)*(1/6 for a six on the second roll)
1/36+10/216
1/36 + 16/216
22/216
11/108

Answer 3

i dont know how to play but you hold those three and dont roll them right. The odd of getting another 6 and 6 is like 1 in 36 on the next roll

Answer 4

I'd recommend giving yourself the best chance at maximizing your total points. It's impossible to score 40 points for Four of a Kind, so cross it out and go for the Large Straight on your final turn. You have slightly better odds at scoring the Large Straight anyway and, if you're successful, you'll score the highest points possible.

Answer 5

1/36 (probability of getting six on one dic = 1/6) times probability of getting 6 on another dice (1/6)

1/6 * 1/6 = 1/36 getting 3 sixes however is a 1/216 chance (1/6 * 1/6 * 1/6)

Answer 6

2 in 36, that is because each of the remaining two dies have a one in six chance of making a six, for both of them to hit six, it is 6x6. Since you have two more chances to make them both into a 6, the odds are 2 in 36, or reduced it is 1 in 18.

Answer 7

(1/6)^2 = (1/36)

Answer 8

about 1 in 20
yahtze is hard to get, but when you get them you keep geting them.

Answer 9

hehe, i see you made it!