Theoretical and Experimental Probability

Front

What is Experimental Probability?

Back

Experimental Probability is the probability of an event occurring based on the results of an experiment or repeated trials.

Front

What is Theoretical Probability?

Back

Theoretical Probability is the probability of an event occurring based on the possible outcomes in a perfect world, without conducting any experiments.

Front

If Shamar hits a target 12 times out of 18 throws, what is the formula to calculate his experimental probability of hitting the target?

Back

The formula is: Experimental Probability = (Number of Successful Outcomes) / (Total Number of Trials) = 12/18 = 2/3 or approximately 67%.

Front

A farmer found that 10 out of 25 tomato plants grow. What is the expected number of plants that will grow if he plants 200 tomato plants?

Back

Expected number of plants = (10/25) * 200 = 80 plants.

Front

What is the probability of winning a game if the odds are 1:12?

Back

The probability of winning is 1/(1+12) = 1/13 or approximately 0.077 or 7.7%.

Front

If Daniel has a probability of 0.125 of picking a quarter from a jar of 250 coins, how many quarters does he expect to have?

Back

Expected number of quarters = 0.125 * 250 = 31.25, approximately 30 quarters.

Front

What is the difference between Experimental Probability and Theoretical Probability?

Back

Experimental Probability is based on actual experiments, while Theoretical Probability is based on expected outcomes without conducting experiments.

Front

How do you calculate the probability of an event?

Back

Probability of an event = (Number of favorable outcomes) / (Total number of possible outcomes).

Front

If a die is rolled, what is the theoretical probability of rolling a 3?

Back

Theoretical Probability = 1/6, since there is one favorable outcome (rolling a 3) out of six possible outcomes.

Front

What is the expected number of wins for Jada if she plays a game with a winning probability of 1:12 for 60 games?

Back

Expected wins = (1/12) * 60 = 5 wins.