1. Red pen, highlighter, GP notebook, calculator
U11D14
Have out:
Bellwork:
Solve the following:
1) A coin is tossed 10 times. what is the probability of getting at most 2 H?
2) Using a standard deck of cards, what is the probability of getting 2 jacks in a 5–card hand?
Expand the following:
3) (x – 2y)5
total:

2. Solve the following:
1) A coin is tossed 10 times. what is the probability of getting at most 2 H?
P (at most 2 H in 10 tosses) +3 +1 +2 0H 1H 2H 3H 4H 5H 6H 7H 8H 9H
10H
row 10 

3. # of ways to get 2 cards from all jacks
Solve the following:
2) Using a standard deck of cards, what is the probability of getting 2 jacks in a 5–card hand?
# of ways to get 2 cards from all jacks
# of ways to get 3 other card (non–jacks) +2
P (2 jacks) = +1
Total # of possible 5–card hands +2

4. Use Pascal’s Triangle… or combinations. = (x + (–2y))5
Expand the following:
3) (x – 2y)5
Use Pascal’s Triangle… or combinations.
= (x + (–2y))5 x5
(–2y)0 x4
(–2y)1 x3
(–2y)2 x2
(–2y)3 x1
(–2y)4 x0
(–2y)5
1______ + 5______ + 10______ + 10______ + 5______ + 1______ x5 x4
(–2y) x3
(4y2) x2
(–8y3) x1
(16y4)
(–32y5)
1___ + 5_______ + 10_______ + 10_______ + 5_______ + 1_____
= x5 – 10x4y + 40x3y2 – 80x2y3 + 80xy4 – 32y5 +6 +1
Start with row 5 of Pascal’s triangle. +1
Write powers of x in descending order. +1
Write powers of (–2y) in ascending order.
total:
row 5 

5. It’s time for the study team test!
Move into your group and work on the test.
Due tomorrow!

6. Expand the following:
3) (4x + 3y)3
Use Pascal’s Triangle… or combinations.
(4x)3
(3y)0
(4x)2
(3y)1
(4x)1
(3y)2
(4x)0
(3y)3
= 1 _________ + 3 _________ + 3 _________ + 1 _________
(64x3)
(16x2)
(3y)
(4x)
(9y2)
(27y3)
= 1 _________ + 3 _________ + 3 _________ + 1 _________
= 64x x2y + 108xy2 + 27y3
row 3 