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Probability Bingo Game

One of my favorite statistics activities for introducing probability is Probability Bingo. Probability Bingo is not your typical bingo game. You aren’t looking for five in a row. Instead, the winner is the first person to fill up their ENTIRE bingo card.

I once attended an AP Summer Institute for AP Statistics at the University of Tulsa with Dave Ferris. Dave is an AP Stats teacher in Noblesville, IN.  He has a website that is chock full of stats resources.

Blank probability bingo card with wooden dice.

On Dave’s probability resource page, I found a file called “Probability Bingo.”  I opened the file, and I was instantly intrigued.  (By the way, the file gives credit to Brian Mehmed, 2011 WV APSI.)  

Blank Probability Bingo Card.

Here are the instructions at the top of the bingo card:

Each of two die has colored faces, 3 green, 2 blue and 1 red. The two dice will be rolled. The outcome will be considered to be one “bingo call.” If you have this outcome on your bingo card, mark it off.

The winner will be the student who gets a bingo card completely marked off (all 25 squares). Mark each square on your bingo card (use BG for “blue green,” BB for “blue blue,” etc.) so that you have the best chance of winning.

Wooden Dice with Colored Circle Stickers.

I used one inch wooden cubes and dot stickers to create a set of probability bingo dice for my classroom.

I used Mod Podge to seal down the colored stickers so students could not peel them off the dice.

Probability Bingo Dice on Plate to be Modpodged.
Probability Bingo Dice in Hand.

Before I got fancy, I used to use the small blank foam cubes that you can buy at Dollar Tree to create custom dice. I would write the letter for each color on a side of the cube using a Sharpie.

I have also taken post-it notes and taped them to the sides of a large foam die. Some years I have even had students create the dice themselves!

To prep for this activity, you will need to make the colored dice described in the instructions and print a set of probability bingo cards for the class. I print the bingo cards double-sided because students ALWAYS want to play a second round!

I discuss how the dice were made, and students get to work filling out their bingo cards. The first time I ever did this with students, I decided I wanted to play along. I quickly calculated the probability of each combination of colors.  

I multiplied each probability by the 25 bingo squares to determine how many squares I should label with each color.  I had one square left at the end, so I went ahead and labeled it RR even though the probability of rolling a RR is approximately 0.03.

The students took turns rolling the two dice.  With each roll, we marked off the combination once.  This is not your typical bingo game.  You’re not looking for five in a row.  You’re looking to be the first to fill up your entire bingo card.  

At first, I was off to a good start.  With every roll, I got to mark off a square.

Partially Completed Probability Bingo Game Card

Then, the dark time began.  I quickly ran out of Blue/Green squares.  So, did my students.  We all agreed that we should have put more Blue/Green squares on our probability bingo cards.  The GG combination was not rolled as much as I would have liked.

Partially Completed Probability Bingo Game Card

I didn’t take a picture of it, but I sat for a long time with only my RR square unmarked.  I wasn’t the only person waiting for an RR.  Eventually, an RR was rolled, and I won!

Completed Probability Bingo Game Card

My students instantly wanted to play again.  I had anticipated this, hence the double-sided bingo cards.  Based on our first round of bingo, my students set out to create a better bingo card.  

One of my students decided to calculate the probability like I had.  She accidentally left the BB combination off of her card.  She was not happy about this!

Just for fun, I decided to leave my card exactly the same since I had won the first round.

Here’s the start of Round 2 of Probability Bingo.

Partially Completed Probability Bingo Game Card

Pretty soon, history repeated itself.  Once again, I found myself waiting and waiting and waiting for RR.

Partially Completed Probability Bingo Game Card

That Red/Red combination never came because another student filled up her card first.  The moral of the story?  If there’s only a 3% chance that something will be rolled, don’t put it on your bingo card.

In order to give my students a grade for the day, I asked them to calculate the probability of rolling each color combination.  Then, they had to critique the strategy of designing your card to reflect these probabilities.

Scratch work to calculate probabiliy for Probability Bingo Game

I would definitely recommend this probability bingo activity!  It was thought-provoking and fun.  If time allows, I would love to play this with my Algebra 1 students when we review probability at the end of the year.

http://noblestatman.com/AP_Stats_Workshops/Probability_files/Probability%20Bingo.doc

Michelle Xuan

Wednesday 13th of May 2020

Can you please tell me how do you calculate the experimental probability of this game?

Unknown

Friday 16th of June 2017

I love lessons where I want to play along and figure stuff out (Though, admittedly, my students don't *always* share my enthusiasm). In this case, my gut says you'd do better by filling the whole bingo card with GG than by trying to use a balanced distribution. goldenslot GCLUB Casino Gclub GClub casino

Anonymous

Saturday 18th of March 2017

Where you get the 36 in your calculations of probability?

Unknown

Thursday 19th of April 2018

or to think of it as 36 different outcomes. Think on a numbered cube( standard dice) there are 36 different outcomes!

Sarah Carter (@mathequalslove)

Friday 24th of March 2017

6 ways to roll first die x 6 ways to roll second die

fknauss

Tuesday 22nd of April 2014

I love lessons where I want to play along and figure stuff out (Though, admittedly, my students don't *always* share my enthusiasm). In this case, my gut says you'd do better by filling the whole bingo card with GG than by trying to use a balanced distribution.

The awesome ting is that being wrong would be part of the learning.

Sarah Carter (@mathequalslove)

Saturday 26th of April 2014

Agreed!

And, I think your GG strategy would work quite well! We were all quite sad when we had marked out all of our GG squares.

Jan Lichtenberger

Saturday 1st of February 2014

I can't wait to use this with my Pre-Algebra 2 and Algebra 1 classes. They will have so much fun and it will give them a much better understanding of probability. I am addicted to Dollar Tree for teaching supplies and always trying to figure out ways to use the items they have. Thanks for sharing :)

Sarah Carter (@mathequalslove)

Sunday 2nd of February 2014

You'll have to let us know how it goes on your blog! I just love teaching probability through games!

And, I think I'm addicted to Dollar Tree, too. I justify it by telling myself that there are worse things I could be addicted to! :)