Probability

[Oraisteach]

So, I'm playing an intellectually straining game of Yahtzee.  I'm looking for a large straight.  I have five dice, and on the first roll I get 2, 2, 3, 4, 5.   I keep 2, 3, 4, 5 and have two more rolls with a single die to hit a 1 or a 6.  What is the probability of my hitting a 1 or 6 in those two rolls?  It's 2/3, right, or am I way off?  What, instead, of having just 2 rolls I have 3 rolls?  What would the probability be then?

[upmonaghansayswe]

So, I'm playing an intellectually straining game of Yahtzee.  I'm looking for a large straight.  I have five dice, and on the first roll I get 2, 2, 3, 4, 5.   I keep 2, 3, 4, 5 and have two more rolls with a single die to hit a 1 or a 6.  What is the probability of my hitting a 1 or 6 in those two rolls?  It's 2/3, right, or am I way off?  What, instead, of having just 2 rolls I have 3 rolls?  What would the probability be then?

Probability of getting a 1 or 6 in either roll is 1/3 (4/12 - favourable outcomes/possible outcomes).

Probability of getting a 1 or 6 in the first roll and then the other one in the second roll is 1/18 (1/3 x 1/6)

And it would still be a third with 3 rolls (6/18).

[seafoid]

So, I'm playing an intellectually straining game of Yahtzee.  I'm looking for a large straight.  I have five dice, and on the first roll I get 2, 2, 3, 4, 5.   I keep 2, 3, 4, 5 and have two more rolls with a single die to hit a 1 or a 6.  What is the probability of my hitting a 1 or 6 in those two rolls?  It's 2/3, right, or am I way off?  What, instead, of having just 2 rolls I have 3 rolls?  What would the probability be then?

Probability of getting a 1 or 6 in either roll is 1/3 (4/12 - favourable outcomes/possible outcomes).

Probability of getting a 1 or 6 in the first roll and then the other one in the second roll is 1/18 (1/3 x 1/6)

And it would still be a third with 3 rolls (6/18).

But if you pray to St Jude and promise publication the odds change.

[Tony Baloney]

Have Yahtzee in the house which has never been opened. Any good? Too hard for wains?

[dec]

Two rolls 5/9

Three rolls 19/27

[upmonaghansayswe]

Two rolls 5/9

Three rolls 19/27

What's the sums? Yeah getting to repeat something that's 1/3 will increase your odds. I'm wrong.

[armaghniac]

Probabilities

1 or 6 first throw 1/3
not 1 or 6 followed by 1 or 6     2/3 x 1/3 = 2/9
1 or 6 on both throws 1/3 x 1/3
nothing 2/3 x 2/3 = 4/9

useful outcome 5/9 nothing 4/9

[Oraisteach]

Tony, the game's a fun diversion.  How old are the kids?

St. Jude is now looking like the best probabilty . . .

[Tony Baloney]

Tony, the game's a fun diversion.  How old are the kids?

St. Jude is now looking like the best probabilty . . .

8 and 6 (and 4).

[PadraicHenryPearse]

Quick question.

Is it better to have two chances of being drawn out of a draw of 500. 5 tickets drawn.

Or

Is it better to have one entry but do it on two different occasions.

Thanks.

[Maiden1]

Two rolls 5/9

Three rolls 19/27

For you not to hit straight it has to be not 1 or 6 (2/3) followed by not 1 or 6 (2/3) so odds of not winning (2/3)×(2/3)=(4/9). So odds of winning (5/9).

3 goes odds of Not win (2/3)×Not win (2/3)×Not win (2/3)=8/27.  Odds of winning then 1-(8/27)=19/27

[PMG1]

Quick question.

Is it better to have two chances of being drawn out of a draw of 500. 5 tickets drawn.

Or

Is it better to have one entry but do it on two different occasions.

Thanks.
[/quote
Either way your chances are 2/500 so both the same

[Maiden1]

Quick question.

Is it better to have two chances of being drawn out of a draw of 500. 5 tickets drawn.

Or

Is it better to have one entry but do it on two different occasions.

Thanks.
[/quote
Either way your chances are 2/500 so both the same

Not quite.

2 tickets in same draw odds

2/500 or 0.004

Different draws odds of winning are 1-(499/500)×(499/500) or 0.003996.

If bought all 500 tickets odds be 1.  If bought 1 ticket in 500 draws not guaranteed to win.

[ONeill]

Quick question.

Is it better to have two chances of being drawn out of a draw of 500. 5 tickets drawn.

Or

Is it better to have one entry but do it on two different occasions.

Thanks.

Depends if you're related to the chairman or not.

[PadraicHenryPearse]

Quick question.

Is it better to have two chances of being drawn out of a draw of 500. 5 tickets drawn.

Or

Is it better to have one entry but do it on two different occasions.

Thanks.

Depends if you're related to the chairman or not.

If I was related, there would by no need for the question.