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- Probability

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Try reviewing these fundamentals first

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Get Started Now- Intro Lesson: a8:30
- Intro Lesson: b11:12
- Lesson: 1a2:14
- Lesson: 1b2:54
- Lesson: 1c2:13
- Lesson: 2a4:39
- Lesson: 2b3:32
- Lesson: 2c4:40
- Lesson: 2d3:52

In this lesson, we will learn:

- What is probability in math?
- How to write probability as a fraction
- How to list all the outcomes for probability events (using coins, dice, and spinners)

**Probability**is math for events that only sometimes happen. The chances of something happening can be**likely**or**unlikely**to happen.**Calculating probability**is like predicting the future. We are trying to get a measure of the chances that something will happen.

**Arithmetic math**(all basic operations; adding, subtracting, multiplying, dividing numbers) is**certain**. In comparison, probability math is**uncertain**--but still**predictable**.- Probability can be given as a
**fraction**, following the formula format: **Outcomes**are all the possible endings that*could*happen for a situation.- Some simple probability situations that are often used in math problems include: tossing a coin, rolling a six-sided die, and spinning the arrow on a spinner.
- Coins:
- If you toss a coin, it will land on a flat side—either on
**heads**or**tails** - So, there are 2 possible outcomes to a coin toss: heads or tails
- The probability of landing on heads is $P$(
*heads*) = $\frac{1}{2}$ - The probability of landing on heads is $P$(
*tails*) = $\frac{1}{2}$ - Dice: (a six-sided die, if singular)
- When rolling a die, it will land with one of its six flat faces facing up (on top). There are six sides labelled from 1 to 6.
- So, there are 6 possible outcomes to a die roll: 1, 2, 3, 4, 5, or 6
- The probability of landing on any one side (1-6) is one out of six chances
- $P$ (1) =$P$ (2) = $P$ (3) = $P$ (4) = $P$ (5) = $P$ (6) = $\frac{1}{6}$
- Spinners: (can have any number of equal parts; labels with numbers, letters, etc.)
- When using a spinner, the arrow will land on one of the marked regions. In this case, there are 4 different coloured regions.
- So, there are 4 possible outcomes for this spinner: red, yellow, green, or blue
- The probability of landing on any one of the colors is one out of four chances
- $P$ (Red) = $P$ (Yellow) = $P$ (Green) = $P$ (Blue) = $\frac{1}{4}$

- IntroductionIntroduction to Probability Outcomes for Coins, Dice, and Spinners:a)What is probability?b)What are outcomes in probability?
- Outcomes for flipping a coin
- Outcomes for rolling a 6-sided die
- Outcomes for a spinner with different regions

- 1.
**Outcomes are the result of flipping coins, rolling dice, or turning a spinner's arrow**

List all the possible outcomes. How many outcomes are there in total?a)A coin with a happy face or sad face on its sidesb)An 8-sided diec)Two friends having a race against each other

- 2.
**Outcomes that are equally as likely to occur**

Fill in the table for the probability outcomesa)Rolling a 6-sided die:

b)Turning a spinner with letters:

c)Turning a spinner with numbers:

d)Rolling a 6-sided die: