## Download Understanding Fundamental Counting Principle and Probability of Events Worksheets

Click the button below to get instant access to these premium worksheets for use in the classroom or at a home.

This worksheet can be edited by **Premium members** using the free Google Slides online software. Click the ** Edit button** above to get started.

#### Download free sample

Not ready to purchase a subscription yet? Click here to download a FREE sample of this worksheet pack.

**Definition:**

**The Fundamental Counting Principle** is also called the counting rule. It is a way to identify the number of outcomes in a probability word problem.

**Probability** is the chance or the occurrence of an event.

**Summary:**

**Properties of Probability**

- The probability of an event is always between 0 and 1.
- If we add the sum of probabilities of all events, it is equal to 1.
- The probability that an event E will not happen is 1 minus the probability A that the event will happen. P(E)=1-P(A)
- The probability that both events A and B will happen is equal to the occurence of event A times event B given that in event B, event A has already happened.
- The probability that event A or B will occur is equal to the sum of probability of each event, minus the probability that both events A and B occured.

**Examples:**

There are 5 different tops, 4 different skirts, 7 different shoes and 8 different hats. We can let these be:

- A = 5 tops
- B = 4 skirts
- C = 7 shoes
- D = 8 hats

We know that the formula for finding the total combinations is:

- N = A x B x C x D
- N = 5 x 4 x 7 x 8
- N = 1,120 ways

By multiplying the different clothes, we got 1,120 ways or combinations of outfits from which the girl can choose.

There are 6 cakes in the refrigerator. 2 are strawberry cakes, 3 are chocolate cakes, and 1 is a mocha cake. What is the probability of getting a strawberry cake?

We can let:

- S = strawberry cake = 2
- T = total number of cakes = 6
- P = probability of getting a strawberry cake

P = S/T = 2/6 = **1/3**

- The probability of getting a strawberry cake from the refrigerator is ⅓. To understand the probability further, we can change ⅓ to 0.3333, then multiply it by 100, making it 33.33, which is
**33.33%**, the percentage of getting a strawberry cake from the refrigerator.

## Understanding Fundamental Counting Principle and Probability of Events Worksheets

This is a fantastic bundle which includes everything you need to know about Understanding Fundamental Counting Principle and Probability of Events across 15+ in-depth pages. These are ready-to-use Common core aligned Grade 7 Math worksheets.

Each ready to use worksheet collection includes 10 activities and an answer guide. Not teaching common core standards? Don’t worry! All our worksheets are completely editable so can be tailored for your curriculum and target audience.

**Resource Examples**

Click any of the example images below to view a larger version.