Theoretical & Experimental Probability

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.

Theoretical Probability = (Number of Favorable Outcomes) / (Total Number of Possible Outcomes)

Experimental Probability is the likelihood of an event happening based on actual experiments or trials, calculated as the number of times the event occurs divided by the total number of trials.

Experimental Probability = (Number of Times Event Occurs) / (Total Number of Trials)

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

Theoretical Probability = 4/10 = 2/5, since there are 4 red marbles out of 10 total marbles.

Experimental Probability = 15/50 = 3/10.

Experimental Probability = 15/35 = 3/7 after simplification.

Theoretical Probability = (4 red + 3 green) / 10 total = 7/10.

Experimental Probability = 13/90.