# Introduction to Counting and Probability

This class will teach students in grades 7-10 the foundations of counting and probability. Students will learn a variety of topics that expand beyond the regular school curriculum. Students will finish the course with an in-depth knowledge of permutations; combinations; probability; Pascal’s Triangle and the Binomial Theorem.

###### Chapter 1: Counting is Arithmetic
Counting by addition and multiplication, permutations
###### Chapter 2: Basic Counting Techniques
Count by cases, Complementary counting, constructive counting, counting with restrictions
###### Chapter 3: Correcting for Overcounting
Permutations with repeated elements, counting pairs and with symmetry
Combinations
###### Chapter 5: More with Combinations
Counting Paths on a grid, number of ways to form committee, distinguishability
###### Chapter 7: Introduction to Probability
Probability of equally likely outcomes, applications with counting techniques
###### Chapter 8: Basic Probability Techniques
Complementary probabilities, dependent event
###### Chapter 9: Think about it!
Learn faster approach to solve probability problems
###### Chapter 10: Geometric probability
Probability involving lengths and areas
###### Chapter 11: Expected Value
Definition and properties of expected value
###### Chapter 12: Pascal’s Triangle
Construction of Pascal’s triangle, relationship with combinatorics
###### Chapter 13: The hockey stick identity
Derivation of the hockey stick identity, and its application
###### Chapter 14: Binomial Theorem
Derivation and application of the binomial theorem
###### Chapter 15: More Challenging Problems
Hard problems in counting that use combinations of topics above

## Learn from the best

Passion for tech. Unmatched expertise. Personality that brings out the absolute best in your child. We know there's no replacement for the best teacher. It's no surprise that iconic companies like Google, Amazon, Microsoft, and Disney hire the same talent we do. Our Geek Certified instructors possess the whole package of skills that inspires students for the Tech World!

Recruited from top universities and leading IT companies
Rigorous background and reference checks
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Verified teaching experience

## What our parents say

This Course is for Grade 5-Grade 9 Students who want to advance their knowledge in counting and probability.

Level:
AGES 10 - 15
Online 1-on-1 Private Sessions

This course typically takes 3-6 months to complete. This depends on the student's experience and how fast they can master the concepts and the knowledge. Our instructors move at the pace of the student, it may take extra time for some students to reinforce what they have learned.

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