## InterA.DiceDifference History

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- 2 Balls - Vertical Box 6th grade probability

- 2 Balls - Vertical Box 6th grade probability

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The 6 events - a difference of 0, 1, 2, 3, 4 or 5 are mutually exclusive and complete. "Mutually exclusive" means no 2 events cannot happen at same time and "complete" means no other events can occur.

The 6 events - a difference of 0, 1, 2, 3, 4 or 5 are mutually exclusive and complete. "Mutually exclusive" means no 2 events can happen at same time and "complete" means no other events can occur.

We mix and throw 2 dice - 1 Blue and 1 Green.

We throw 2 dice - 1 Blue and 1 Green.

These **6 events** are mutually exclusive and complete.

**or**5

**or**5

- How many ways can a difference of 0 happen?

- What percentage of times should 0 happen?

- What other real life situations give this kind of probability?

- What is the percentage of times that a 0, 1 or 2 occurs? How about a 3, 4 or 5?

"Mutually exclusive" means no 2 events cannot happen at same time and "complete" means no other events can occur.

The 6 events - a difference of 0, 1, 2, 3, 4 or 5 are mutually exclusive and complete. "Mutually exclusive" means no 2 events cannot happen at same time and "complete" means no other events can occur.

Let's play!

I win if the difference is a 0, 1 or 2 and

you win if it is a 3, 4 or 5.

Each of us has 3 chances to win. Let's play!

I win if the difference is a 0, 1 or 2.

You win if it is a 3, 4 or 5.

Each of us has 3 chances to win.

Let's play!

I say to my friend: I win if the difference is a 0, 1 or 2 and you win if it is a 3, 4 or 5. Each of us has 3 chances to win. Let's play!

I say to my friend:

I win if the difference is a 0, 1 or 2 and

you win if it is a 3, 4 or 5.

Each of us has 3 chances to win. Let's play!

"Mutually exclusive" means both events cannot happen at same time and "complete" means no other event can occur.

"Mutually exclusive" means no 2 events cannot happen at same time and "complete" means no other events can occur.

I say to my friend: I win if the difference is a 0, 1 or 2 and you win if it is a 3, 4 or 5. Each of us has 3 chances to win. Let's play!

We mix and throw 2 dice - 1 Blue and 1 Green. What is the difference in values?

We mix and throw 2 dice - 1 Blue and 1 Green.

What is the difference in values?

**or**5

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The difference is 0, 1, 2, 3, 4, **or** 5

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- Is my game fair?

- Theoretically, how often should the green ball drop first into the box?
- Theoretically, what is the probability that the red ball will drop first?

We have 2 dice - 1 Blue and 1 Green. We mix and drop them. What is the difference in values?

We mix and throw 2 dice - 1 Blue and 1 Green. What is the difference in values?

There are **6 events** are mutually exclusive and complete.

These **6 events** are mutually exclusive and complete.

The difference is 0, 1, 2, 3, 4, or 5

The difference is 0, 1, 2, 3, 4, **or** 5

- What is the percent of green first?
- What is the percent of red first?

- Which difference happens most often?
- Which difference happens least often?