Understanding Fundamental Counting Principle and Probability of Events 7th Grade Math Worksheets

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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

  1. The probability of an event is always between 0 and 1.
  2. If we add the sum of probabilities of all events, it is equal to 1.
  3. 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)
  4. 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.
  5. 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

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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.

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