 ## Tutoring on Using the Binomial Theorem or Combinations

Learning Objectives:

#### Understand and Apply Binomial Theorem

Math Tutoring on Using the Binomial Theorem / Combinations

A probability formula for Bernoulli trails in Math Tutoring:

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

Formula: = xny0 + xn-1 y1 + xny0+….+ x1 yn-1+ x0yn

P(k successes in n trials)= pkqn-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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