## Reflection: Connection to Prior Knowledge Market Research with a Markov Chain - Section 1: Launch

Some of my students had difficulty understanding how to calculate letter c) in the warm up to today's lesson. Specifically, students were asking about why we needed to multiply the probabilities for two independent events. I drew a quick tree diagram to help drive the point home. I explained that if there are six possibilities for the first event and six possibilities for the second event, we must multiply to get the number of total possibilities for both events.

Furthermore, I highlighted the two paths that we were interested in for part c). Then we added them together to get the total probability. Essentially we were combining the operations from parts a) and b) to get a more complex probability.

Connection to Prior Knowledge: Recalling Probability Concepts

# Market Research with a Markov Chain

Unit 8: Matrices and Systems
Lesson 6 of 16

## Big Idea: A Markov chain combines matrices and probability in order to analyze the Purrrrrfect Cat Toy's market share.

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Subject(s):
Math, Precalculus and Calculus, Algebra, Systems of Equations and Inequalities, matrix, Matrices, Matrix Multiplication, Markov chain
55 minutes

### Tim Marley

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