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THEORETICAL PROBABILITY - SIMPLE EVENTS OCCURING

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M7.E.3.1.1 – Find the theoretical probability of a simple/compound event

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Probability: m easurement on how likely it is for an event to occur Theoretical Probability: a statement of the probability of an event without doing an experiment or analyzing data. Favorable outcome: outcome that you want to happen. Possible outcomes : how many total outcomes that can occur in a given situation How do you show probability as a fraction ? P (event) = ____number of favorable outcomes____ number or possible outcomes for event

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A person has a deck of cards that have been shuffled. What is the probability of someone pulling a king from the deck? STEP 1: FIND THE NUMBER OF POSSIBLE OUTCOMES. Remember that the denominator tells you how many possible outcomes there are for the given event. Since a deck of cards has 52 cards, there are 52 possible outcomes. So, the denominator is 52.

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STEP 2: FIND THE NUMBER OF FAVORABLE OUTCOMES What card do we want to pick from the deck? A king (this is our favorable outcome since this is what we want) Since we want to pick out a king, we need to find out how many kings are in the deck. How many kings are in a deck of cards? There are 4 kings in a deck of cards. So out of the 52 possible outcomes, there are 4 that we want. There are 4 favorable outcomes. The 4 becomes your numerator. Now you have your fraction.

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STEP 3: PUT YOUR FRACTION IN LOWEST TERMS! Answer The chances of pulling a king out of a deck at random is one in thirteen. =

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A bag contains 4 red marbles, 2 blue marbles, and 6 orange marbles. What is the probability of pulling out an orange marble? Step 1 – Find total possible outcomes Step 2 – Find total number of favorable outcomes Step 3 - Put fraction in lowest terms number of favorable outcomes total possible outcomes (12) (6) =

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a. b.c.d. Using the spinner to the right, find the probability of the spinner landing on green?

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a. b.c.d. Using the spinner to the right, find the probability of the spinner landing on green?

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