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Math Using Lego – Probability

Lego make a perfect tool for teaching basic math operations to complex concepts like probability. Probability is basically calculating the ratio of the favorable cases to the whole number of cases possible. For example, when you toss a coin, the probability of getting either “heads” or “tails” is 1. Whereas, the probability of getting a “heads” is 0.5 because the toss is equally as likely to result in “tails.” We can visualize the concept of probability using lego and learn math in a simple and fun way.

The Probability Problem

Place 8 red lego bricks and 4 blue lego bricks in a cloth bag ( use a pillow case cover, if you don’t have one ). The 12 bricks are completely alike except for their colors.  The room is in total darkness, and you want to pull out two matching bricks.

Start pulling out bricks from the bag, one at a time. What is the fewest number of bricks that you would need to take out of the bag in order to be certain that you have a pair that match?

Give it a try and let me know your solution in the comments section.

Show Solution

Certainly taking out two bricks out of the bag is not enough to guarantee a pair, since you might end up getting one red and one blue brick. But, the third brick drawn, whether red or blue, is guaranteed to create a match.

So, you are guaranteed to have a matching pair in your third try.

If you are looking for more probability puzzle then check the post  Probability with 3 different kinds of Lego Bricks. 

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Happy Learning !

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