(no subject)

[thebitterguy]

Two questions:

Anyone who understands probability vis a vis dice: what is the chance you'll get a result of only one or two on three dice? What is the chance you'll get at least once six?

And has anyone ever heard of a deep fried turkey exploding in a kitchen? I presume this is a procedure that is not approached lightly.

Comments

[elissa-carey.livejournal.com]

No idea about the dice. The turkey? Well, never heard of it, but it doesn't mean it hasn't or won't happen if the turkey isn't cooked right. Still, deep fried turkey is fantastic, especially if you use a good rub on it beforehand.

[artbroken.livejournal.com]

The chance of rolling a total of '1' or '2' on 3d6 is, well, zero; the lowest number you can roll is 3 (1/1/1).

The chance of rolling at least one '6' is the inverse of the chance of rolling no sixes. That's 5/6 x 5/6 x 5/6 (1-5 on the first die, 1-5 on the second die, 1-5 on the third die), or .5787. The inverse of that is 1-.5787, or .4213, or 42.13%.

[thebitterguy]

Sorry, I asked it wrong. I meant, on a roll of 3d6, what are the odds of only getting results on each die of ones or twos, as opposed to getting at least one five or six.

[artbroken.livejournal.com]

Well, the odds of getting 1-2 on any die is 2/6 = 1/3.

Getting that on all three dice = 1/3 x 1/3 x 1/3 = 1/27 = .037 = 3.7%.

[pyat.livejournal.com]

1 in 6 to power of 3, or 1 in 216.

[pyat.livejournal.com]

Wait, no... that's the odds of getting all 1's or all 2's, not "just ones and twos."

[anidada.livejournal.com]

No clue about dice.

However, viz. turkey, there have been several news items on fark.com of late regarding deep-fried turkey mishaps (sometimes involving devices specifically made for the purpose, which is even weirder -- must be an American thing). I had no idea such a concept existed, and between that and the turducken, I'm scarred, scarred for life. I imagine that anything that has a sizable air pocket and is then deep fried would certainly be dangerous. Turkey shrapnel! It's what's for dinner!

I've heard good things about brining turkey, mind you, which seems almost as weird.

[thebitterguy]

Snra. Bitter has mentioned getting a Turducken for New Year's dinner. I am confused and amused by the thought.

[mr-weasel.livejournal.com]

What is the chance you'll get at least once six?

Let X be the number of times that you get a six on a fair die, upon rolling said die three times.

X ~ bin(3,1/6) => X has a Binomial Distribution with the number of trials (n) equal to 3 and the probability of success (p) equal to 1/6.

P(X=x) = (n) * p^x * (1-p)^(n-x)
(x)
Therefore, the probability that you'll get at least one six is:

1 - P(X=0)
=> 1 - [(3) * (1/6)^0 * (5/6)^3] {The funny 3 over 0 is the combination "3 choose 0"}
(0)

=> 1 - [(3!/(0! * 3!) * 1 * (0.5787)]

=> 1 - [1 * 1 * (0.5787)]

=> 1 - 0.5787

=> 0.4213

Therefore, you have approximately 42% chance of rolling at least one six on three rolls of a fair die.

N.B. Alternately, you say that the probability of getting at least one six on three rolls of a fair die is equal to 1 minus the probability of rolling no sixes at all (the probability of doing that on each roll is 5/6):

=> 1 - [5/6 * 5/6 * 5/6]

=> 1 - 0.5787

=> 0.4213

Yeah, my stats course comes in handy after all!

:)

[proemial.livejournal.com]

How dare you scare me with questions of Combinatoric/Discrete math! Shame on you! I hate combinatorics.

:)

[thebitterguy]

I figured you'd be more terrified by deep frying a whole turkey. I stand corrected.