1. C HAPTER 6 S ECTION 8 T HE B INOMIAL T HEOREM Algebra 2 Notes February 11, 2009

2. W ARM -U PS 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

3. P ASCAL ’ S T RIANGLE Look at your copy of the Pascal’s Triangle What is the pattern?? You can use Pascal’s Triangle to find combinations

4. U SING P ASCAL ’ S T RIANGLE n C r Use your Pascal’s Triangle to evaluate each combination: 5 C 0 4 C 3 6 C 2 RowDiagonal

5. U SING P ASCAL ’ S T RIANGLE Use Pascal’s Triangle to expand binomials: Example 1: Example 2:

6. U SING P ASCAL ’ S T RIANGLE Use Pascal’s Triangle to expand each binomial: Example 3: Example 4:

7. U SING B INOMIAL T HEOREM T O S OLVE P ROBABILITY P ROBLEMS : 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.

8. U SING B INOMIAL T HEOREM T O S OLVE P ROBABILITY P ROBLEMS : 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.

9. H OMEWORK #22 Pg 355 #1-3, 8-10, 21, 22, 25, 43