Use probabilities to solve real-world and mathematical problems; represent probabilities using fractions, decimals and percents.

6.4.1.1Determine the sample space (set of possible outcomes) for a given experiment and determine which members of the sample space are related to certain events. Sample space may be determined by the use of tree diagrams, tables or pictorial representations.6.4.1.2Determine the probability of an event using the ratio between the size of the event and the size of the sample space; represent probabilities as percents, fractions and decimals between 0 and 1 inclusive. Understand that probabilities measure likelihood.6.4.1.3Perform experiments for situations in which the probabilities are known, compare the resulting relative frequencies with the known probabilities; know that there may be differences.6.4.1.4Calculate experimental probabilities from experiments; represent them as percents, fractions and decimals between 0 and 1 inclusive. Use experimental probabilities to make predictions when actual probabilities are unknown.
Example Problems
A bag contains 9 blue candies, 7 red candies and 5 green candies.
A candy is chosen from the bag at random.

Find the probability that the candy is:
Not Orange
A letter is selected at random from the word F I B O N A C C I.

Find the probability that the letter is:
Not A
Write your answer as a fraction or as a decimal rounded to the nearest hundredth.
A bag contains 9 blue candies, 7 red candies and 5 green candies.
A candy is chosen from the bag at random.

Find the probability that the candy is:
Yellow
Goblins

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