## Math Homework Help Free Probability Calculator

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### Latest News

Descriptive Statistics CalculatorsFebruary 28th, 2018

Although we already had a complete descriptive statistics calculator, I have requests to make some specific calculators, to compute one measure at a time, so here I have it: I added a mean calculator, standard deviation calculator and median calculator.

New Section of Education Articles

February 20th, 2018

I have added a page that puts together all the articles we have available about education topics.

SPSS Tutorial

September 20th, 2017

Check our revised SPSS tutorial.

Statistics Calculators

August 17th, 2017

I have added a couple of algebraic solvers for arithmetic sequences and geometric sequences.

Statistics Calculators

August 15th, 2017

Z-scores are the way we compute normal probabilities, as any general normal distribution can always be reduced to a standard normal distribution. Check out this Z-Scores Calculator.

Statistics Tutorials

August 2nd, 2017

I have found two excellent tutorials one about hypothesis testing, and the other one about statistics and parameters. Both are great reads.

Several Effect Size Calculators

July 31st, 2017

I have added several effect size calculators, including a Gamma Calculator and a Phi Coefficient Calculator.

Cramer's V Calculator

December 25th, 2016

The idea of "effect size" is very relevant in statistics. If often happens that a test statistics is significant, but the association has no practical meaning. This is because a extremely large sample size alone can find significant n extremely small effect. Cramer's V is a statistic that assess the effect size or practical significance of the association between nominal variables. Check it out: Cramer's V Calculator.

Calculator of the Area and Volume of a Pyramid

December 5th, 2016

More solvers for our series of elementary geometry solvers, and we now add a calculator of the area and volume of a square pyramid that will show you all the steps and formulas used to calculate the surface area and volume of a square pyramid of side \(l\) and height \(h\).

Calculator of the Area and Volume of a Cube

December 4th, 2016

We continue our series of elementary geometry solvers, and we now add a calculator of the area and volume of a cube that will show you all the steps and formulas used to calculate the area and volume of a cube of side \(l\).

Calculator of the Area and Volume of a Cone

November 30th, 2016

Keeping the momentum up, here you have a calculator of the area and volume of a conethat will show you all the steps and formulas used to calculate the area and volume of a right circle cone radius \(r\) and height \(h\).

Calculator of the Area and Volume of a Sphere

November 30th, 2016

Another solver for our Geometry series, a calculator of the area and volume of a spherethat will show you all the steps and formulas used to calculate the area and volume of a sphere of radius \(r\).

Critical Correlation Calculator

November 29th, 2016

Typically found in special tables, here you have a critical correlation calculator. The advantage of this calculator is that it will compute the critical correlation for any value of \(n\), which is not always possible when you use critical correlation tables, which only have a few values of \(n\).

Geometry Solvers

November 28th, 2016

Lots of people were asking for geometry solvers and here they are. I have started a new section for Geometry and I'll be adding more solver on a continuous basis. For now, here I leave for you a area and perimeter of a circle calculator, and an area and volume calculator for cylinders

Polynomial Operations Calculator

November 25th, 2016

This one is a solver that user were clamoring for: Let me introduce our Polynomial Operations Calculator, with which you can add, subtract and multiply polynomials, with the solution shown step-by-step. Also, we have started with MathQuill, and excellent option for enhancing the input of math.

Absolute Value Calculator

November 23th, 2016

We expand even more our Algebra series with some more basic solvers, in this case, a absolute value calculator.

Algebraic Expression Calculator

November 19th, 2016

New solver in our Algebra series, now I have added a solver that evaluates all sort of algebraic expressions that can include any kind of operation (sum, subtraction, multiplication, division), numbers, fractions, trigonometric functions, exponential functions, powers, roots, etc. Check our Algebraic Expression Calculator.

Fraction Operations Calculator

November 19th, 2016

Continuing the series of Algebra solvers, I have added a solver that calculates operations between fractions and shows all the steps. Depending of the operation required it conducts the appropriate steps to reach the final fraction result, in reduced form. Check out our fraction operation solver.

Function Grapher

November 17th, 2016

I have made a new function grapher to replace the old flash grapher we had. This time, I used the Google Chart format, that looks more modern and goes along the trend of JS charts.

Fraction Reduction

November 13th, 2016

I get a lots of requests for this one, so here it goes. This is a fraction reduction tool fraction-reduction-lowest-terms.php, that takes a fraction into its lowest terms.

Next Algebra Solver in our series

November 12th, 2016

This time, I added a greatest common divisor, or as it usually known as greatest common factor calculator . I took care to provide as much detail as possible in the calculations shown by the solver.

New Algebra Solver

November 11th, 2016

Today I start with a new series of Algebra solvers. I have added a prime decomposition calculator, you type in a positive integer number and the solver tell you in a detailed way what is its prime decomposition.

New Site Design

September 8th, 2016

I am very pleased to announce that we have rolled a new site design, with a much improved mobile functionality.

More Math Cracks

January 31th, 2016

This time I decided to write on functions and how to deal with them.

Another Math Article

January 20th, 2016

Another article. This time dealing with the possibility of having a software that can solve Math and Stats problems FULLY automatically Check Here.

Another Math Crack

January 5th, 2016

I loved the feedback I got from the first Math Crack, so I decided to pump up the series. I'll be uploading them periodically. This next first Math Crack is about an easy explanation of derivatives.

Math Cracks

January 5th, 2016

I finally started a project that I have been wanting to undertake for a while. It is the Math Cracks, which is the way I call to this short tutorials that attemp to explain hard math concepts in simple terms, step-by-step. The first Math Crack of the series is Integration by Parts.

Site upgrade

April 21th, 2015

A site update is coming soon. I will be changing the layout a bit so that to keep the solvers in a more organized way and the articles will be organized rather in blog format. I will be adding a complete set of Algebra solvers, so stay tuned.

More solvers

February 4th, 2015

A couple of tutorials and solvers were added: Quadratic Formula: The meaning of the term -b/2a, an article about Algebra 2 and a Line Plot Maker

More Articles

January 28th, 2015

I have added a couple of new articles for your reading enjoyment: Math Articles

Minimum Sample Size

December 7th, 2014

I have added a minimum sample size calculator for mean and proportion

Many stats calculators

December 5th, 2014

After long working hours, I've finished all the solvers required to cover all basic statistics topics. The new solvers are: Z-test for two means, Z-test for two proportions, T-test for two means, T-test for paired samples, Chi-Square Goodness of fit, and Chi-Square test of Independence. I also added the most important non-parametric tests, which are the Sign Test, also Wilcoxon Signed Ranks Test, as well as the Wilcoxon Rank-Sum Test and Kruskal-Wallis

Online Accounting Courses

November 12th, 2014

I get asked to review different online curricula. Thanks to a guest writer, I just added a great article about online accounting curricula. You can check it here.

Accounting Help

November 11th, 2014

Found a very informational article about the do's and dont's of Accounting Homework Help. You can check it here.

News

November 11th, 2014

Great changes to improve user experience are coming very soon. I have written recently many math and stats solvers that I'll be adding to the site. I've been polishing the scripts we already have and this is almost turning into a full time job. As many users are aware, we have had ads for the last few months, and even though I don't like ads, it is the only way to support the site, which is turning into a full time job by now. I'm looking for a more efficient way of using ads so that the site can be ad-supported and it continue being free that way.

Various Statistical Tests

November 2nd, 2014

More stat tests done. I have finished a t-test for one population mean with unknown population standard deviation and a Chi-Square test for one population variance. Pretty much as the other solvers I have added, they are simple to use: define hypotheses, and parameters of the test, and a detailed step-by-step calculation is performed.

Z-tests

October 31st, 2014

I've been working on these for a while and I finally finished them. I added a z-test for one population mean and a z-test for one population proportion. Very user friendly, define hypotheses, and parameters of the test, and a detailed step-by-step calculation is performed. Recommended.

Histogram Maker

October 20th, 2014

I just added a working histogram maker. You enter the dataset and the number of bins and a properly scaled histogram is rendered by the script.

Bar Graph Maker

October 9th, 2014

I have added a very cool bar graph maker. You enter the categories, the values associated with each of the categories, and a bar chart rendered by the script.

Mortgage Calculator

October 8th, 2014

Not exactly the typical calculator we do, but I have had some requests for it, so I added a simple mortgage calculator tool to compute the monthly payment for a mortgage, under basic assumptions (without considering PMI and insurance).

New math solver

October 4th, 2014

I have uploaded a 2x2 system of linear equations solver.

Update

October 4th, 2014

I have updated the pie chart maker script.

Confidence Interval Calculators

October 2st, 2014

I have added two confidence interval calculators. They are confidence intervals for the population mean μ when the population standard deviation σ is known and for when the and a population standard deviation is not known.

Two more more probability calculators

October 1st, 2014

We have two more probability calculators. They are a binomial distribution calculator and a Poisson distribution calculator.

Added two more probability calculators

September 30th, 2014

I have added two new probability calculators, based on a couple of requests I had. They are a exponential distribution calculator and a uniform distribution calculator.

Tips for finding math help

September 9th, 2014

I have added a new article. Check it out here.

Grade Calculator Online

June 9th, 2014

I have added a correlation coefficient calculator. This time, the script is more user friendly, and checks for errors in the data before processing them.

Grade Calculator Online

June 4th, 2014

I received a whole lot of e-mails asking for a tool to calculate grades. Well, I just did it. With this online grade calculator you are able to input your assignment/test scores and the calculator will tell your final score and final letter grade. And if you don't have all the grades, the calculator will tell you what score you need to get in your final assignment/test in order to get an A.

More material

June 4th, 2014

After some time of silence, I'm back. As many of you know, I run this site on my spare time trying to keep it as updated as possible. I'm very pleased to see the positive effect the math tools we offer in our site are having in the community. Countless e-mails thanking me for the work I put in the site make me want to keep working even harder. The free online math calculator we provide in the site have even been used as references in scientific papers. That is very cool indeed! I have great plans for the site. Keep visiting.

Discount for math help

Sept 25rd, 2013

Our good friends at MGT are giving specially for us this 15% discount code for their online math homework help services:

**mthcrk1501**. From references given by users of our community, they are very reliable.

Summer is over

Sept 24rd, 2013

Summer is over, and time is back for some math. We have great plans for this year. Our aim is to offer the best quality free math help, for which reason we will continue adding more and more useful content. We also expect to materialize some very interesting partnerships. Stay tuned!

More Online Stats calculators

May 24rd, 2013

As promised, a couple of critical values calculators have been added: z-distribution critical values and t-distribution critical values

New Online Stats calculator

May 23rd, 2013

A t-distribution probability calculator was added. This is the first delivery of a series of scripts that will be added. Coming soon a couple of online calculators for critical values for the z-distribution and the t-distribution.

New Article

March 8th, 2013

I just added an article about math problem solving techniques. See article

List of Calculus Problems

March 8th, 2013

I found a new site offering sample solved calculus problems: Calculus Problems

Scripts Fixed

January 30th, 2013

We have added more than 300 solved statistics problems

Scripts Fixed

January 21th, 2013

Due to a problem with a configuration file the scripts in the site were not working for a while, now they are working fine. Sorry for the inconvenience.

New Tutorial

December 18th, 2012

A good tutorial about the normal distribution was added. The normal distribution and the standard normal distribution

More Solved Statistics Problems

December 7thd, 2012

I added a good list of solved statistics problems.

Fixed scatterplot tool and added regression line tool

November 3rd, 2012

I made a few adjustments to the scatterplot module, and added a new regression line tool, to complement the existing tool. Linear Regression Calculator

Free Statistics Help Resource

September 29th, 2012

This new resource seems to be very useful, you may find it interesting to take a look Free Statistics Help

Site back up

April 27th, 2010

The site is back up online. For problems out of my control the site was down for a couple of weeks. We'll be back with new material. Thanks to everyone

New section added

May 17th, 2008

I have found a good collection of free solved math problems and math answers.

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**Question:** Consider families with $4$ children each. What percentage of families would you expect to have

**(a)** two boys and two girls

**(b)** at least one boy

**(c)** at most two boys

**(d)** no boys

(Assume probability of getting a girl and probability of getting a boy are equal and is $\frac{1}{2}$)

**Solution: **

**Step 1:**

Since there are $4$ children $(n)$ = $4$.

The event of getting boy is a success and event of getting girl is a failure. The probability of getting a boy and getting a girl is equally likely.

So probability of getting a boy = Probability of getting a girl = $\frac{1}{2}$

That is $p$ = $q$ = $\frac{1}{2}$

**Step 2: **

Binomial Distribution formula is given by

$P(x)$ = $(nCx)\ p^x\ q^{n-x}$, where $x$ = $0, 1, 2, …...,n$

Now lets consider each case.

Let $x$ be the number of boys

**(a)** Two boys and two girls

$\Rightarrow\ x$ = $2$.

Substituting $x$ = $2$ in the formula

$P$(Two boys and two girls) = $p(x = 2)$ = $4c_{2}\left ( \frac{1}{2} \right )^2\left ( \frac{1}{2} \right )^{4-2}$ = $4c_2\left ( \frac{1}{2} \right )^2\left ( \frac{1}{2} \right )^2$

(b) at least one boy

=> x = 1, 2, 3 or 4.

P(at least one boy) = $p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4)$

= $4c_1\left ( \frac{1}{2} \right )^1\left ( \frac{1}{2} \right )^{4-1}+ 4c_2\left ( \frac{1}{2} \right )^2\left ( \frac{1}{2} \right )^{4-2}+4c_3\left ( \frac{1}{2} \right )^3\left ( \frac{1}{2} \right )^{4-3}+4c_4\left ( \frac{1}{2} \right )^4\left ( \frac{1}{2} \right )^{4-4}$

= $4c_1\left ( \frac{1}{2} \right )^1\left ( \frac{1}{2} \right )^3+4c_2\left ( \frac{1}{2} \right )^2\left ( \frac{1}{2} \right )^{2}+4c_3\left ( \frac{1}{2} \right )^3\left ( \frac{1}{2} \right )^1+4c_4\left ( \frac{1}{2} \right )^4\left ( \frac{1}{2} \right )^0$

= $\frac{4}{16}+\frac{6}{16}+\frac{4}{16}+\frac{1}{16}$

= $\frac{15}{16}$

c) at most two boy

=> x = 0, 1 or 2.

P(at most two boy) = $p(x = 0) + p(x = 1) + p(x = 2)$

= $4c_0\left ( \frac{1}{2} \right )^0\left ( \frac{1}{2} \right )^{4-0}+4c_1\left ( \frac{1}{2} \right )^1\left ( \frac{1}{2} \right )^{4-1}+4c_2\left ( \frac{1}{2} \right )^2\left ( \frac{1}{2} \right )^{4-2}$

= $4c_0\left ( \frac{1}{2} \right )^0\left ( \frac{1}{2} \right )^4+4c_1\left ( \frac{1}{2} \right )^1\left ( \frac{1}{2} \right )^3+4c_2\left ( \frac{1}{2} \right )^2\left ( \frac{1}{2} \right )^2$

= $\frac{1}{16}+\frac{4}{16}+\frac{6}{16}$

= $\frac{11}{16}$

d) No boys

=> x = 0

Substituting x = 0 in the formula

P(No boys) = p(x = 0)

= $4c_0\left ( \frac{1}{2} \right )^0\left ( \frac{1}{2} \right )^{4-0}$

=$4c_0\left ( \frac{1}{2} \right )^0\left ( \frac{1}{2} \right )^4$

= $\frac{1}{16}$

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