# Independent Events Worksheets

Before we begin to analyze any event to accurately work with the values and better understand them, we need to understand their nature of the event itself. Events can be classified in one of two ways as either independent or dependent. When an event has no connection at all to another events chance of happening, we call it an independent event. An example of this would be the chance of winning a race and owning a black belt. As you can see from the example, there is zero relationship to one another. Events can also be classified as dependent if one relies on the other in order to occur. An example would be not paying your mobile phone bill and having your service cut off. The worksheets and lessons will help students be able to predict the chance of something occur based on the data that is presented to you.

### Aligned Standard: Grade 7 Statistics - 7.SP.C.6

- 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.

- Answer Keys - These are for all the unlocked materials above.

### 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?

### What is the difference between Dependent and Independent Events?

When we are trying to make predictions about something looking at probability is one of our best bets to be able to make an accurate prediction. In order to analyzing a situation, we must first understand how an event is occurring. 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.

When we are about to classify and work with any data set it is important to understand the nature of how they are taking place. This enables us to find the best method for evaluating the statistics and create a profound understanding of the system we are exploring.