Advanced Math

Sort:
Bittrsweet

When I was in college I learned how to find the equation of a line given multiple points on the TI-84 graphing calculator. Not all of the points would be exactly on the line. You might input 20 points that are all over the place and the line could show if they trend up or down and the equation for the line. 

 

I have forgotten how to do this and I no longer have a graphing calculator. How can I perform this equation?

Martin_Stahl

You want to look up linear regression (assuming the points have a more linear fit).

Bittrsweet

Wow, thanks so much, just what I was looking for. 

 

I'm also interested in a six-sided dice game. If you are aware of how to calculate the probability of 5 6's in 10 dice and other related outcomes, I'd be glad to hear of it. 

Tamar_gymnast
I already learnt that and I'm in 9th grade
Bittrsweet

Yeah, I didn't even touch the graphing calculator until my senior year of high school. I still don't know how to do this equation by hand.

 

What about the chance of exactly 4 6's in 10 6 sided dice. Did you learn how to do that?

Bittrsweet

Dice though?

Sqod
Bittrsweet wrote:

Dice though?

Examples of this should be easy to find online. Try keywords: independent,  probability, dice. Let me see if I can remember it (my answer not guaranteed):

Each specific outcome on a single die has probability 1/6.

Each roll of a die is independent. Therefore you multiply.

10 rolls or 10 dice are represented by 10 blanks in a row, which you will later fill in with numbers and operation signs (*, +) between them:

__ __ __ __ __ __ __ __ __ __

Putting together these pieces you get:

1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6 =

(1/6)^10 =

(.1666...)^10 =

1.6538 x 10^-8 per my laptop calculator

Martin_Stahl

Probability and Combinatorics are one of my weak points so I haven't answered grin.png

 

Sqod's answer is the probability of rolling all of one number on the 10 dice.

 

But you can use Wolfram Alpha (but it doesn't give you the how to calculate it)

https://www.wolframalpha.com/input/?i=exactly+4+fours+with+10+dice

https://www.wolframalpha.com/input/?i=at+least+4+fours+with+10+dice

Sqod
Martin_Stahl wrote:

Sqod's answer is the probability of rolling all of one number on the 10 dice.

You're right: I got so hung up in the details that I forgot she mentioned only 5 dice out of 10, not 10 out of 10, only the latter of which is what I answered.

The answer will depend on:

Do you mean *any* 5 dice out of the 10 dice, or a specific 5 dice?

Do you mean *exactly* 5, or at *least* 5?