Algebra Room 424 Ms. Josie

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Please sign in next to your name on the sheet by the door.

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I have pencils, paper, if you need it.

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TUTORING: Tuesdays, Wednesdays, and Thursdays for ALL Classes.

(PLEASE LET ME KNOW AHEAD OF TIME)

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The day’s lesson and the homework will be posted to my website by the end of each day.

www.mrsmillersmathtutoring.com

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Always feel free to email me with any questions or concerns.

jmiller1@camdencc.edu

Use your Aztec accounts!

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Continue using this email during the School Year

jmiller1@camdencc.edu

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Use this email if you need me for ANYTHING over the summer

absjmiller@gmail.com

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CASAS

Warm Up: You have 10 minutes to work on these problems. Then, we will go over them.

NO CALCULATOR

Workbook page 61

3. For summer reading, Grace must choose 4 books out of a reading list of 12 books. In how many different ways could Grace complete the assignment?

Solve.

#3 HOMEWORK

Workbook page 63

Solve. The problems may involve permutations or combinations.

13. In a cooking contest, teams of chefs will have the chance to cook for a panel of judges. The teams of 3 will be formed randomly from a pool of 20 chefs.
1. How many different groups of 3 can be formed?

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2. Five teams will take turns competing the first night of the contest, In how many different ways could 5 teams be scheduled?

14. A swim coach chose 4 swimmers for the relay race. He definitely wants Matt to swim the last leg of the race. In how many difference orders could the swimmers swim the relay race?

HOMEWORK

Workbook page 63

Solve. The problems may involve permutations or combinations.

15. In a small office, every employee is assigned a sign-in code. The code has 3 digits. The first digit cannot be a 0. The second digit must be a 5, 6, or 7. The third digit must be different from the first digits. How many 3-digit codes are possible?

16. The blocks below are places in a row. In how many different orders can you place the blocks if the fully shaded block cannot be placed at either end of the row?

HOMEWORK

Workbook page 64

SIMPLE PROBABILITY

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Probability is the likelihood, or chance, of something happening or not happening.

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Probability is a ratio. It compares the number of favorable outcomes to the number of possible outcomes. A favorable outcome is the even you are analyzing (what you WANT)

Probability is often written as a percent.

• A probability of 0% means that an event cannot happen
• A probability of 100% means that an event is certain to happen.

Workbook page 64

WRITING PROBABILITY AS A NUMBER

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Example: What is the probability of rolling a 6 using a regular 6-sided die?

Step 1:

Count outcomes.

Since the die has 6 sides, the total number of possible outcomes is 6.

Since there is only 1 side with a 6, the number of favorable outcomes is 1.

Workbook page 64

You can also figure out the probability of something not happening

Example: Oscar has 10 pairs of socks. Of the pairs, 3 are black, 2 are gray, 3 are brown, and 2 are blue. Without looking, Oscar reaches into the drawer and draws out a pair of socks. What is the chance that the socks are not blue?

Workbook page 64

Workbook page 65

Solve as directed. For these problems, write probability as a fraction. Express chance as a percent.

A spinner has 8 equal sections, numbered as shown.

1. If you spin the spinner, what is the probability that you will land on a number greater than 12?

2. What is the chance of the spinner landing on 20 or 25?

3. What is the probability of not landing on 10?

3 out of the 8 numbers are greater than 12.

2 out of the 8 numbers are 20 or 25.

3 out of 8 numbers are 10, so 5 out of 8 numbers are not 10.

Workbook page 65

Solve as directed. For these problems, write probability as a fraction. Express chance as a percent.

A deck has 52 cards in all. There are 4 suits. Each suit has 13 cards.

4. If a card is selected at random, what is the chance of choosing a diamond?

5. What is the probability of selecting an ace at random?

6. What is the probability of drawing a card with either a 5 or a 6 of any suit?

7. What are the odds of drawing a card from the suit of hearts?

13 out of 52 cards are diamonds.

There are 4 aces out of 52 cards.

One out of every 4 cards is a heart, so 3 out of every 4 cards are not.

Workbook page 65

Solve as directed. For these problems, write probability as a fraction. Express chance as a percent.

Each questions is based on rolling a regular 6-sided die.

8. What is the chance of rolling an even number?

9. What are the odds of rolling a number divisible by 3?

10. What is the probability of not rolling a 1?

HOMEWORK

Workbook page 65

Solve as directed. For these problems, write probability as a fraction. Express chance as a percent.

11. Candice and Lior work in the same office. Two people will be randomly selected to attend a conference. If there are 10 people working in the office, what is the probability that both Candice and Lior will be chosen?

(Hint: Use your work with combinations to find the total ways 2 people can be chosen out of 10. Then count the combinations that include Candice and Lior. Use the information to write the probability.)

HOMEWORK

Workbook page 65

Solve as directed. For these problems, write probability as a fraction. Express chance as a percent.

12. Explain. Kayla went to the Pizza Pie Café for lunch and ordered the 2-topping special. She made this comment to a friend: “If you order a 2-topping pizza and the toppings are chosen at random, you will have a 1 out of 28 chance of getting a pepperoni and pineapple pizza.”

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1. Assume Kayla is correct. How many different toppings are available at the pizza Pie Café?

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• How do you know your answer makes sense? Explain your thinking?

HOMEWORK

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Page 65, numbers 8 – 11

S.V. Pre GED Math

• Mathematical Reasoning
• Ratios, Proportions, Percents
• Statistics and Probability

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GED Prep Math

• Mathematical Reasoning
• Quantitative Problem Solving with Data and Statistics
• Determining Probability
• Permutations, Combinations, and Counting