Unit 6: Probability (chapter 15)

In this unit I learn about probability, start from the First

What is probability?

Probability is a type of ratio, were we compare the possible outcome and how often will it come out or maybe impossible to come out.

Language of probability:
-  Certain: will always happen, example, package of macaron you will always get a macron in it.
- Imposible: never happen or impossible to get that outcome, example, in a regular dice you never can get a number above 6.
- Very likely: usually happen, example, in a box there are 6 red ball and 1 blue ball, you will very likely get the red ball
- Very unlikely: usually won't happen, example, in a box there are 6 red ball and 1 blue ball, you will very unlikely get the blue ball
- even chance: 50% chance, example, in  a coin tossing.

If We put it in diagram, it will look like this:

I also learn about the complementary and compound event

Compound event

is a event went the outcome comes from 2 things, such as 2 dice.

Formula:

Example:

There are 2 dice, and we wanted to find the probability to get 6 and 6 and also odd number and 6.

Probability (6 and 6)






<---Those are the probability to get the number of each dice









Next step, is to times them together


Probability (odd and 6)

Just do the same thing, but what makes it different is the outcome that we wanted to get.

<---Those are the probability to get the number of each dice






Next step, is to times them together



Complementary event

is always the total of 1 or 100%

example:
We wanted to get a sum of 8 from 2 dice

first we need to find the list of the number that can sum a 8 from 2 dice:
2 + 6
3 + 5
4 + 4
5 + 3
6 + 2

There are 5 possible outcomes.

So the probability to get the sum of 8 from 2 dice is






and not to get the sum of 8 is






From this unit, I also learn to make games, not only making it but we can see some probability from games to, from me and my partner game that we make:

So, there are some differences from the regular snack and leader and our game

<--- from this one the differences is the snake that we change to a broken treasure chest,  and have 15 paper in it so there will be 15 outcomes from this chest

<----from this one the differences is the leader that we change to a golden treasure chest, and have 15 paper in it so there will be 15 outcomes from this chest

<---- we also change the dice, rather that 6 or 12 outcomes, how about 14 outcome. Using a cuboctahedron as a dice.



There are also other probability in our games:

• dice that is used in snake and ladder, we use a cuboctahedron that have 14 outcomes)
• Possibility to landed of getting  number we wanted to landed on.
• Possibility to take one of the paper from the 15 outcomes in each of the treasure box.
• Probability of getting good luck is 10 out of 100 blocks as well as the possibility of getting bad lucks.
• There’s 8 out of 14 possibilities on getting good and big value number when you roll the dice.
• There’s 50% chance to be winner as well as ending up being the loser.

Probability when rolling the dice:

• Getting the number that is larger than 1 but less than 6: 4/14
• Getting the number that is larger than 5 but less than 10: 4/14
• Getting the number that has a value of zero: Impossible
• Getting the number that is larger than number 1: Very likely
• Getting the number that is less that number 15: Certain