# Nelson Mathematics of Data management 4.6

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In summary, the probability of getting a sum of 7 when drawing 2 cards without replacement and rolling a die is 1/1560.
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" A standard deck of cards has had all face cards ( Jack, Queens, and Kings) removed so that only the ace through ten of each suit remains. A game is played in which two cards are drawn (without replacement) from this deck and a six-sided die is rolled. For the purpose of this game, an ace is considered to have a value of 1."

Question: Find the probability that the sum of the cards and the die is 7

## Homework Equations

Doing this for a friend and i don't recall the equations for Permutations and Combinations and probability... Sorry!

## The Attempt at a Solution

I was able to get out of a deck of 40 cards the possible number of outcomes are 1560(40x39) and 1/6 since it's a die.
My final answer i got was 1/624
the number of possible out comes in the deck is 15 that have a combination lower than 6.

To find the probability that the sum of the cards and the die is 7, we first need to calculate the total number of possible outcomes in the game. Since there are 40 cards in the deck and we are drawing 2 cards without replacement, the total number of possible outcomes is 40*39 = 1560. Additionally, there are 6 possible outcomes for the roll of the die. Therefore, the total number of possible outcomes in the game is 1560*6 = 9360.

Next, we need to determine how many of these outcomes result in a sum of 7. We can do this by listing all the possible combinations of cards and die rolls that result in a sum of 7:

1+6 = 7
2+5 = 7
3+4 = 7
4+3 = 7
5+2 = 7
6+1 = 7

Since there are 6 possible combinations, the probability of getting a sum of 7 is 6/9360 = 1/1560. Therefore, the probability that the sum of the cards and the die is 7 in this game is 1/1560.

## 1. What is the purpose of "Nelson Mathematics of Data Management 4.6"?

The purpose of "Nelson Mathematics of Data Management 4.6" is to provide a comprehensive and interactive approach to learning data management, with a focus on Grade 4 students. It covers key concepts such as collecting, organizing, analyzing, and interpreting data, and helps students develop their critical thinking and problem-solving skills.

## 2. Is "Nelson Mathematics of Data Management 4.6" suitable for self-study or is it better for classroom use?

"Nelson Mathematics of Data Management 4.6" is designed to be used both in the classroom and for self-study. It includes a variety of activities and exercises that can be completed independently or with the guidance of a teacher. The interactive nature of the material also makes it engaging for individual use.

## 3. Does "Nelson Mathematics of Data Management 4.6" cover all the required topics for Grade 4 data management?

Yes, "Nelson Mathematics of Data Management 4.6" covers all the essential topics for Grade 4 data management as outlined in the curriculum. It also includes additional practice and extension activities to further enhance students' understanding and skills.

## 4. Are there any resources or support materials available for "Nelson Mathematics of Data Management 4.6"?

Yes, "Nelson Mathematics of Data Management 4.6" comes with a variety of resources and support materials, including a teacher's guide, student workbooks, interactive online activities, and assessment tools. These resources are designed to complement the material and help students and teachers make the most out of the program.

## 5. Is "Nelson Mathematics of Data Management 4.6" suitable for students with different learning styles?

Yes, "Nelson Mathematics of Data Management 4.6" is designed to accommodate different learning styles. It includes a mix of visual, auditory, and kinesthetic activities to engage students with different preferences. The material is also adaptable and can be tailored to meet the individual needs of students.

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