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Activity for Olin Lathrop‭

Type On... Excerpt Status Date
Answer A: Picking 20 different numbers, in the same draw $\;$ vs. $\;$ picking 10 different numbers, in 2 different draws.
Does Pr (probability) of winning jackpot differ between 1. picking 20 different #s, for the same draw vs. 2. picking 10 different #s, for 2 different draws ? Yes. Consider the limiting case where there are only 20 possible choices. Playing all 20 numbers guarantees a win. Playing 10 out of 2...
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4 months ago
Answer A: Solely by eye, how can 16 year olds visually distinguish $\color{red}{\vec{b} - \vec{r}}$ from $\color{limegreen}{|\vec{b}| - |\vec{r}|}$ ?
Use two diagrams. What you have is too cluttered and busy to be useful. I had to look at it a while before understanding what you are trying to show. What you are really trying to illustrate is the difference between how vectors and scalars subtract. Show one diagram for the difference between ...
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7 months ago
Answer A: How can I choose a point from a uniform distribution within a regular polygon?
Any convex polygon can be trivially tiled into triangles. Choose any point on the boundary or inside the polygon and draw lines from there to all the vertices. This point can be one of the vertices. It can also be the origin in your case. It doesn't matter what point is picked. Find the area o...
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8 months ago
Answer A: Without trial and error, how can I effortlessly deduce all $n, k_i ∈ ℕ ∋ \binom n {k_1, k_2, ..., k_n} =$ given c?
I prefer to pick integers &ge;32 to boost my probability of winning That's silly. All combinations of numbers have the same chance of winning. &lt;Soapbox&gt; You've asked a bunch of questions here that indicate you are trying to find a scheme to win the lottery. There isn't one. On...
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8 months ago
Question Criteria for solvable Minesweeper game?
Minesweeper is a computer game that works on a rectangular grid of squares. Initially, all the squares are shown blank. A known number of "mines" are distributed under the squares, but their locations are unknown to the player. The object of the game is to uncover all the squares by flagging each ...
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10 months ago
Answer A: How can disabled users not be scorned for their disabilities?
Good posts are good, and bad posts are bad. It doesn't really matter why they were written that way. Anyone that usually writes good posts is welcome here. Anyone that usually writes bad posts is not. Again, it doesn't matter why. The reason we don't like bad posts is because they degrade th...
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about 1 year ago
Answer A: How do I compare lotteries' chances of winning jackpot, when they differ in the maximum number of plays?
Do the odds below factor in each lottery's different maximum (number of) plays? Or are these odds calculated for merely 1 play? You'd have to ask each lottery, but usually such published odds are the chance of any one ticket winning. That appears to be the case here too. Does each lottery's di...
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about 1 year ago
Answer A: At what jackpot minimum is playing Lottario rational?
This can't be answered with the information shown. -1 because that really should have been obvious. First, you need to know the cost of acquiring one of those 4,072,530 chances. For simplicity, you could say that's the price of a ticket. If the cost of entry were free, then the expected value o...
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about 1 year ago
Answer A: Finding a quadratic that has solutions to given values
If you only have one X-Y pair to meet, then a constant fits the specs perfectly: &nbsp; &nbsp; f(x) = K If it has to meet two X-Y pairs, then a line does it: &nbsp; &nbsp; f(x) = K1x + K2 A quadratic can hit three points: &nbsp; &nbsp; f(x) = K1x2 + K2x + K3 This is also known as a ...
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over 1 year ago
Answer A: How can 3/1 ≡ 1/(1/3), when left side features merely integers, but right side features a repetend?
Your equations express rational numbers, and are correct. Just because in some numbering systems some of these rational numbers can't be represented with finite notation doesn't in any way invalidate the equations.
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over 1 year ago
Answer A: How to calculate remaining volume of a wire spool
The relative volumes of cylinders with the same height are proportional to the square of their diameter. Hopefully you can see this is true without further explanation. The relative volume of wire on a full spool is therefore &nbsp; &nbsp; D2 - Dempty2 Now take the ratio of the current to ...
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over 1 year ago