CHAPTER 6 SECTION 8
THE BINOMIAL THEOREM
Algebra 2 Notes
February 11, 2009
WARM-UPS
 Multiply:
 Tell
whether each situation involves a
combination or a permutation:
4. Three students elected president, secretary,
and treasurer of the student body
5. Four students chosen at random from the
student body
PASCAL’S TRIANGLE
Look
at your copy of the Pascal’s
Triangle
What
You
is the pattern??
can use Pascal’s Triangle to
find combinations
USING PASCAL’S TRIANGLE
Cr
n
Row

Diagonal
Use your Pascal’s Triangle to evaluate each
combination:
C0
5
C3
4
C2
6
USING PASCAL’S TRIANGLE

Use Pascal’s Triangle to expand binomials:

Example 1:

Example 2:
USING PASCAL’S TRIANGLE

Use Pascal’s Triangle to expand each binomial:

Example 3:

Example 4:
USING BINOMIAL THEOREM TO SOLVE
PROBABILITY PROBLEMS:
Example 5:
WNBA star Dawn Staley makes about 90% of the
free throws she attempts.
 Assume that Dawn’s probability of success on
any single shot is the same as her cumulative
record to date. Find the probability that she will
make exactly 6 out of 10 consecutive free throws

Find the probability that Dawn will make exactly
9 out of 10 consecutive free throws.
USING BINOMIAL THEOREM TO SOLVE
PROBABILITY PROBLEMS:
Example 6:
 If
a classmate randomly guesses on four
multiple choice questions, what is the
probability that three or more answers
will be right? The probability of each
answer being correct is 0.2.
HOMEWORK #22
Pg
355 #1-3, 8-10, 21,
22, 25, 43