Theoretical & Experimental Probability

Front

What is Theoretical Probability?

Back

Theoretical Probability is the likelihood of an event happening based on all possible outcomes. It is calculated using the formula: P(Event) = Number of favorable outcomes / Total number of possible outcomes.

Front

What is Experimental Probability?

Back

Experimental Probability is the likelihood of an event happening based on actual experiments or trials. It is calculated using the formula: P(Event) = Number of times the event occurs / Total number of trials.

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

What is the probability of rolling a 3 with a fair six-sided die?

Back

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

Front

If a spinner is divided into 5 equal sections, what is the probability of landing on any one section?

Back

P(landing on one section) = 1/5, since there is one favorable outcome out of five possible outcomes.

Front

What is the probability of NOT landing on a specific color if a spinner has 8 equal sections?

Back

P(NOT landing on a specific color) = (Total sections - 1) / Total sections.

Front

What is the difference between Theoretical and Experimental Probability?

Back

Theoretical Probability is what should happen in theory, while Experimental Probability is what actually happens based on experiments.

Front

If you roll a die 30 times and get a 4 five times, what is the experimental probability of rolling a 4?

Back

P(4) = 5/30 = 1/6.

Front

What is the probability of spinning pink on a spinner with 5 colors if pink is not one of the colors?

Back

P(pink) = 0, since there are no favorable outcomes.

Front

If you roll a die and want to find the probability of rolling a number greater than 4, what is it?

Back

P(number > 4) = 2/6 = 1/3, since the favorable outcomes are 5 and 6.