Comparing Experimental and Theoretical Probability

Front

What is Experimental Probability?

Back

The probability based on the actual results of an experiment.

Front

What is Theoretical Probability?

Back

The probability based on the expected outcomes in a perfect scenario.

Front

If a coin is flipped 50 times and lands on heads 32 times, what is the experimental probability of landing on heads?

Back

32/50 or 0.64 (64%)

Front

What is the formula for calculating Experimental Probability?

Back

Experimental Probability = (Number of times an event occurs) / (Total number of trials)

Front

What is the formula for calculating Theoretical Probability?

Back

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

Front

If a spinner has 10 equal sections and lands on one section 3 times out of 50 spins, what is the experimental probability of landing on that section?

Back

3/50 or 0.06 (6%)

Front

What is the difference between Experimental and Theoretical Probability?

Back

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

Front

If a die is rolled 90 times and the number 2 appears 15 times, what is the experimental probability of rolling a 2?

Back

15/90 or 0.1667 (16.67%)

Front

What should you expect the theoretical probability of rolling a 2 on a 6-sided die to be?

Back

1/6 or approximately 0.1667 (16.67%)

Front

If the experimental probability of an event is higher than the theoretical probability, what does that indicate?

Back

It may indicate that the event occurred more frequently than expected in the trials.