Theoretical & Experimental Probability

Front

What is Theoretical Probability?

Back

Theoretical Probability is the likelihood of an event happening based on all possible outcomes, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

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How do you calculate the Theoretical Probability of rolling an even number on a die?

Back

Theoretical P(Even #) = Number of Even Outcomes (3) / Total Outcomes (6) = 1/2.

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What is the Theoretical Probability of drawing a green or red marble from a bag containing 2 green, 3 red, and 1 blue marble?

Back

Theoretical P(Green or Red) = (Number of Green + Number of Red) / Total Marbles = (2 + 3) / 6 = 5/6.

Front

What is Experimental Probability?

Back

Experimental Probability is the likelihood of an event based on the results of an experiment, calculated as the number of times the event occurs divided by the total number of trials.

Front

How do you find the Experimental Probability of landing on a number after spinning a spinner 200 times?

Back

Experimental P(Number) = Number of times the number is landed on / Total Spins.

Front

When rolling a die, spinning a spinner, and flipping a coin, how many total combinations are possible?

Back

Total Combinations = Outcomes of Die (6) x Outcomes of Spinner (n) x Outcomes of Coin (2). For example, if the spinner has 5 outcomes, then 6 x 5 x 2 = 60.

Front

What is the formula to simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

If Jon made 15 out of 35 free throws, what is his Experimental Probability?

Back

Experimental P = Successful Outcomes / Total Trials = 15/35, which simplifies to 3/7.

Front

What is the difference between Theoretical and Experimental Probability?

Back

Theoretical Probability is based on expected outcomes, while Experimental Probability is based on actual results from experiments.

Front

How do you express probability as a fraction?

Back

Probability as a fraction is expressed as the number of favorable outcomes over the total number of possible outcomes.