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The Monty Hall Problem

The Monty Hall Problem is a famous (or rather infamous) probability puzzle. Ron Clarke takes you through the puzzle and explains the counter-intuitive answer. Put simply: If you pick a goat then swap you will always win the car. And you have a 2/3 probability of picking a goat. You can read more about this problem, and the controversy, on Marilyn Vos Savant's website A lot of people have commented that I should have used 67% rather than 66%. When I made the video I made the choice to use 66% because I talk about "double the chance" and 66% is double 33%. I accept that 67% is more accurate, but I don't think it affects the explanation. Thanks for all your comments!

What Is Statistics: Crash Course Statistics #1

Welcome to Crash Course Statistics! In this series we're going to take a look at the important role statistics play in our everyday lives, because statistics are everywhere! Statistics help us better understand the world and make decisions from what you'll wear tomorrow to government policy. But in the wrong hands, statistics can be used to misinform. So we're going to try to do two things in this series. Help show you the usefulness of statistics, but also help you become a more informed consumer of statistics. From probabilities, paradoxes, and p-values there's a lot to cover in this series, and there will be some math, but we promise only when it's most important. But first, we should talk about what statistics actually are, and what we can do with them. Statistics are tools, but they can't give us all the answers. Episode Notes: On Tea Tasting: "The Lady Tasting Tea" by David Salsburg On Chain Saw Injuries: Crash Course is on Patreon! You can support us directly by signing up at Thanks to the following Patrons for their generous monthly contributions that help keep Crash Course free for everyone forever: Mark Brouwer, Nickie Miskell Jr., Jessica Wode, Eric Prestemon, Kathrin Benoit, Tom Trval, Jason Saslow, Nathan Taylor, Divonne Holmes à Court, Brian Thomas Gossett, Khaled El Shalakany, Indika Siriwardena, Robert Kunz, SR Foxley, Sam Ferguson, Yasenia Cruz, Daniel Baulig, Eric Koslow, Caleb Weeks, Tim Curwick, Evren Türkmenoğlu, Alexander Tamas, Justin Zingsheim, D.A. Noe, Shawn Arnold, mark austin, Ruth Perez, Malcolm Callis, Ken Penttinen, Advait Shinde, Cody Carpenter, Annamaria Herrera, William McGraw, Bader AlGhamdi, Vaso, Melissa Briski, Joey Quek, Andrei Krishkevich, Rachel Bright, Alex S, Mayumi Maeda, Kathy & Tim Philip, Montather, Jirat, Eric Kitchen, Moritz Schmidt, Ian Dundore, Chris Peters, Sandra Aft, Steve Marshall Want to find Crash Course elsewhere on the internet? Facebook - Twitter - Tumblr - Support Crash Course on Patreon: CC Kids:

Fast Math Trick

Visit for more Become Harry Potter of Mathematics. In 5 mins reprogram your mind to calculate faster than the Calculator itself. Impress others with your super-fast mental mathematics.

Easy $1.00 Way to teach PLACE VALUE, Standard Form, Expanded Form

USE cheap FOAM CUPs to make an addictive MATH TOOL that helps students understand PLACE VALUE, standard form and expanded form. FREE GUIDE! for more info... I made this video because I wanted to make a online learning station that students could follow that would help meet the common core standards. I love the idea of blending online schooling into the classroom. FREE easy to use MATH GAMES and activities! Go to Subscribe to get them for FREE when they are ready. I also put math activities up a TEACHERS ONLY READ BELOW: WARNING: READ BELOW IF YOU ARE GOING TO HAVE STUDENTS MAKE THESE! I CAN SHOW YOU WHERE students will have trouble and I will also be able to give you a good sense of how long it will take students to make these and you can decide if it is a good use of your instructional time. This is not only a great activity for teaching place value and expanded form but as my students were trying to do it ,they really had some great discussions about the value of numbers. I teach 4th grade and just making the cups taught the students a lot of math. It was easy to see the students who did not understand where the commas went and the true value of numbers. Some students really struggled the cups will help them! Just making the cups was a great assessment tool for me as a teacher. Adults can get the idea after watching a minute or two of the video! With that said, it was NOT easy for the students. Some students got how to write the places and the values right away others struggled a little with the writing. Overall, it is worth the effort for the kids to have the experience of seeing the "real" value of the number. The teacher needs to make a template cup for each student with just the digits on it. The students can not do this themselves unless you have an endless supply of cups. Late 3rd graders might also be able to create these. I wouldn't attempt having students try to make these younger than 3rd grade unless you do it as a small group activity that you can monitor. If you have youtube access, you could just play my video and let the kids stop and replay it as you help them. My students had a lot of trouble once we got past the thousands place. This was new territory for them. This is going to make teaching multiplication easier for me because the students will be able to see how to pull the numbers apart and multiply them. Students who are not neat will have trouble with this activity. Students who do not have could fine motor skills will also have trouble. DO NOT LET STUDENTS USE SHARPIE! It works great, but the fumes will be too much. My students have colored GEL pens and these worked great. Writing commas to mark the place value and expanded form under the hidden parts of the cup gets tricky for students. Make sure to tell students that one zero should go on each ridge of the cup. Students will want to cram all the zeros into a small area. Have a celebration when you get to a million. For high flyers, let them see just how far they can go with place value. HAVE STUDENTS WRITE THE PLACE VALUE ON EACH CUP AT THE BEGINNING. When I do this lesson again, I will start there! Good luck! I hope this video helps you and your students. See how to use FOAM cups to teach students numeracy. This is great for helping students to learn READ BELOW IF YOU ARE GOING TO HAVE STUDENTS MAKE THESE! First of all if you are teaching place value, standard form, expanded form and trying to meet the common core standards this foam cup manipulative can help your students see the true value of numbers. You could even use this video as a cool math station if you put out some cups. I got 45 cups for a $1.00 at a dollar store. These cups are useful for 1st grade math, 2nd grade math, 3rd grade math, 4th grade math and fifth grade math. This could also be a cool at home week long project that helps students interact with place value. I had students make these hands-on place value cups and it is really helping the students understand that there is a value behind the number. I think this is one of the hardest things to teach students with a place value chart that doesn't show the actual values of the numbers. I used this an introduction to place value and it really helped students to see the numbers I did this place value lesson with my students and it really helped to teach them expanded form, standard form, digit and place value. It can also be used to show students how to DECOMPOSE a number into parts which helps if you are working on common core math skills. If you are having students make these cups themselves it is a great lesson in itself. It is also a great lesson in following directions. I am working on adding place value activities and games using these cups.

Pythagoras theorem - ideal maths lab with models and projects

Pythagoras theorem - ideal maths lab with models and projects

Thank you so much for watching. Please subscribe and give a thumbs up. Also, we make this school video for school's project. We are lookin forward for your attention.