Learning Objectives:

__Math Tutoring on Using the Binomial Theorem / Combinations__

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*A probability formula for Bernoulli trails in Math Tutoring:*

The probability of achieving exactly k successes in n trails is shown below.

*Formula:*

**=****x ^{n}y^{0 }+**

**P(k successes in n trials)=****p ^{k}q^{n-k}**

n =number of trails

k=number of successes

n-k=number of failures

p=probability of success in one trail

q=1 – p =probability of failure in one trail

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**Hook question:**

*1. **Write down the Binomial Theorem.*

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