Theoretical & Experimental Probability

Front

What is theoretical probability?

Back

Theoretical probability is the likelihood of an event occurring based on all possible outcomes in a perfect scenario, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

How do you calculate the theoretical probability of an event?

Back

Theoretical Probability (P) = Number of favorable outcomes / Total number of possible outcomes.

Front

What is the theoretical probability of pulling a red marble from a bag containing 4 green, 3 red, 2 blue, and 1 yellow marble?

Back

P(Red) = 3/10.

Front

What is the theoretical probability of rolling an even number on a standard six-sided die?

Back

P(Even) = 1/2.

Front

How do you find the total number of combinations when choosing one item from multiple categories?

Back

Multiply the number of choices in each category together.

Front

If you have 4 burgers, 2 sides, and 4 drinks, how many meal combinations can you create?

Back

Total combinations = 4 x 2 x 4 = 32.

Front

What is the theoretical probability of drawing a green or red marble from a bag with 4 green, 3 red, 2 blue, and 1 yellow marble?

Back

P(Green or Red) = 2/5.

Front

What is an example of a real-life situation where you would use experimental probability?

Back

Conducting an experiment by flipping a coin 100 times and recording the number of heads and tails to determine the experimental probability of getting heads.

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

If Robin has 5 pairs of shoes and 6 pairs of socks, how many combinations can she make?

Back

Total combinations = 5 x 6 = 30.