Our Yr13 Further Maths class were asked; "An ant is placed in a random location within a 3-4-5 triangle. It then chooses a random direction and walks in a straight line out of the triangle. What is the probability that it leaves via the hypotenuse?" THREAD (1/5)
This is a difficult problem. One student side-stepped the algebra and wrote a program on Python to model the situation (2/5)
Here is the some of that code (3/5)
And here is the ant is action! (4/5)
After a 1000 trials the probability that the ant left via the hypotenuse was around 0.41. There's more maths to explore within this problem but hats off to George for this fantastic work (5/5) @officialCHS @SixthFormCHS @MsWatersCHS
@CHSmaths Lovely problem and congratulations to your pupil!!😀 I think that playful exploration into problems is so important the further you go in Mathematics (and also likely to get more and more computer based) and can so often be squeezed out by hurrying pupils to algebra.