5
votes
2answers
130 views

Misunderstanding the Theorem of Bayes

Saw this problem in an article on bbc.com (6 July 2014, "Do doctors understand test results?," by William Kremer BBC World Service; link below, slightly modified): A 50-year-old woman, with no prior ...
1
vote
1answer
57 views

Graduate course selection for prospective probability student

I am about to begin my masters in applied mathematics, with the hopes of eventually researching probability theory and it's applications to physics. With that in mind, I was wondering which of the ...
0
votes
1answer
50 views

Establishing fairness in test grading

Consider a group of 75 students who sit an exam consisting of 20 open questions, and are then randomly divided into 3 groups of 25 students {A, B, C} for grading by 3 different persons. Let us ...
0
votes
0answers
28 views

Learning resources for Probability Distributions/Models

I've a good background in basic probability. I need to learn and get a good grip on the probability distributions and stochastic processes, counting processes, and other related topics. I am already ...
0
votes
1answer
133 views

Puzzle of Probability Can give an idea …

A bird keeper has got $P$ pigeon, $M$ mynas and $S$ sparrows. The keeper goes for lunch leaving his assistant to watch the birds. Suppose $p=10, m=5, s=8$. When the bird keeper comes ...
8
votes
2answers
192 views

Why do we want probabilities to be *countably* additive?

In probability theory, it is (as far as I am aware) universal to equate "probability" with a probabilistic measure in the sense of measure theory (possibly a particularly well behaved measure, but ...
0
votes
1answer
146 views

Probability and perfect squares [duplicate]

An integer $n$ is randomly chosen from $1$ to $k^2$, where $k$ is an integer. What is the probability that $n$ is a perfect square? I know I have to first figure out the probability of getting a ...
2
votes
2answers
188 views

Probabilities associated with negatively marked questions

First of all: not a native english speaker, and not a mathematician. Please explain as you would to your 10 years old son. I have 120 questions to answer True or False For each right answer, i ...
0
votes
1answer
240 views

Examples of Metaphors in Statistics and Probability?

I have a couple of questions about teaching of Probability and Statistics for high school students: 1. Can I find metaphors for the teaching of basic concepts of Probability and Statistics? (Please, ...
1
vote
1answer
68 views

I'm gonna give probability regularization classes

There's this group of high-school level kids that failed probability and they want me to teach them so they can pass that subject, i agreed to be their teacher for this 2 weeks, however i'm not ...
4
votes
2answers
192 views

Does introducing penalties for getting true/false questions incorrect result in higher skill penetration (less luck/variance)?

A student is asked to answer 50 true/false questions and he would get 35 right and 15 incorrect if he had to put his best guesses for each question down. Now, for each question he has a certain ...
2
votes
1answer
60 views

Any comprehensive material to revise the mathematics

I left school long back and so my mathematics knowledge also fades out. I am trying hard to re-collect the basics about log / permutaion / combination / probability / polynomial equations. I tried ...
5
votes
0answers
130 views

Bayes analysis as used in a Presidential Election - with calculations shown

Can you show all the steps needed for a Bayesian probability progression as new information is received. As an example, initial estimate for Obama to win (popular vote) is 55%. In state-A, Democrats ...
5
votes
3answers
266 views

Example for a simple game of chance where the average value converges fast to the expected value

I want to introduce the concept of expected value (for a discrete random variable, finite case) in a high school class. My first idea was to start with a simple game of chance and let the students ...
1
vote
1answer
113 views

Randomly place $n$ balls in $n$ buckets - how many empty buckets?

A question posed on John D. Cook's blog asks: Suppose you have a large number of buckets and an equal number of balls. You randomly pick a bucket to put each ball in one at a time. When you’re ...
1
vote
2answers
569 views

GRE Probability question

How many 3-digit positive integers are odd and do not contain the digit 5 ? My attempt: 100-999 3 -digit integers, 900/2=450 odd numbers. Now how to calculate odd numbers which do not contain digit 5 ...
3
votes
3answers
2k views

Masters in Actuarial Science

I am applying to a grad school for the Masters in Actuarial Science. Now i am getting cold feet. I do love math, i was always good in math (not excellent or a genius). Did all adv. calculus classes ...
0
votes
2answers
207 views

Math Database For Problem Descriptions In An App.

I am developing an app for kids and they will have a variety of problems from percentage problems, absolute value problems, negative number problems, fraction problems, etc. I was hoping to have a ...
3
votes
2answers
960 views

Grad degree that mainly deals with probability/game theory/optimization?

I'm currently working but am going to take classes as a non-degree student to beef up the math part of my background. I've only taken calc 1-3, ODEs, linear algebra, logic, and decision theory so my ...
3
votes
5answers
295 views

how to explain that Prob[heads, tails] = 2 * Prob[heads, heads] to a student?

I throw two coins (simultaneously). A student (very much a beginner in both math and probability theory) thought that the following 3 outcomes are equally likely: "two heads", "two tails", "a head and ...