## Probability of the Chance of an Event

#### Aligned To Common Core Standard:

**Grade 7 Statistics** - 7.SP.C.6

In Probability: What is the difference between Dependent and Independent Events?
Sometimes it can be difficult to understand mathematical terms that are related to each other such as dependent and independent events in probability. Let us help you so that you have a clearer idea of what both the terms mean.
**Dependent events** - If two events are dependent events, one event affects the probability of the other event. In simpler words, a dependent event relies on the other even to happen first. Dependent events in probability are just like dependent events in real life. For example, if you want to go out but your going out is reliant on the rain to stop. These events will be known as dependent events.
**Independent events** - Independent events are those that have no connection with one another. One event does not get affected by the happening of the other event. Simply put, the event that does not influence the probability of another event's happenings are known as independent events. For example, buying a chocolate bar does not affect a rabbit being white in color.
The worksheets and lessons will help students be able to predict the chance of something occur based on the data that is present.

### Printable Worksheets And Lessons

- Uneven Coin Flip
Step-by-step Lesson- Did you know that if your instinct is to
pick "Tails" in a coin flips routinely, you are 75% more
likely to root for underdogs. Someone actually researched that?

- Guided Lesson
- Yes, Jackson is a baby. My daughter's best friend's son. I was
baby-sitting the night before writing this one.

- Guided Lesson Explanation
- This are rather basic problems. There is a bit more challenge
with the independent practice worksheets.

- Practice Worksheet
- These problems are a bit thicker and tougher than the practice
that got you here.

- Matching Worksheet
- Match the percentage of chance or probability to the scenario
that dictates it.

- Independent Events Five Worksheet Pack - We use less challenging numbers, but slightly turn up the heat on the question style.

#### Homework Sheets

Coin flipping overload led me to mix it up with brand new scenarios.

- Homework 1 - You toss a coin 95 times. The coin lands 45 times on heads and 50 times on tails. If we define a tails as a success, what is the relative frequency of tails?
- Homework 2 - Wilson has a bag. In the bag are 10 black marbles, 7 white marbles, and 8 orange marbles. Wilson removes a marble from the bag 30 times. Each time he records the color of the marble that is drawn. He replaces the marbles into the bag before the next draw. How many black marbles would be expected to be drawn if 1000 pulls are conducted? 10,000 pulls?
- Homework 3 - A bag contains 60 mixed mangoes and oranges. Without looking, you choose a fruit out of the bag. You record the fruit and then place that fruit back in the bag. You recorded 25 mangoes and 20 oranges over 45 pulls. Using these results, predict the number of oranges in the bag.

#### Practice Worksheets

These problems require close to grade level reading comprehension skill.

- Practice 1 - Moore has a car rental agency. He has 34 vehicles available, 16 are white cars. What is the relative frequency probability that a randomly selected vehicle will be a white car?
- Practice 2 - George organizes a party. There are 25 snacks at the party, 11 of the snacks are brown in color. What is the relative frequency probability that a randomly selected snack will be a brown?
- Practice 3 - Gabriel tosses a coin 50 times and has 22 heads and 28 tails. We define a tails as a success. What is the relative frequency of heads?

#### Math Skill Quizzes

Don't let the numbers trip you up on these.

- Quiz 1 - Cards are chosen at random from a deck. What is the probability of getting a spade?
- Quiz 2 - In a shop there are 10 earphones and 18 data cards. If two data cards are chosen, what is the probability of choosing the two data cards sequentially?
- Quiz 3 - In a bag there are 25 black, 15 white, and 11 blue belts. What is the probability of drawing a black belt first and then a blue belt with replacement?