Theoretical & Experimental Probability

Front

What is Theoretical Probability?

Back

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.

Front

How do you calculate Theoretical Probability?

Back

Theoretical Probability = (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, calculated as the number of times the event occurs divided by the total number of trials.

Front

How do you calculate Experimental Probability?

Back

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

Front

What is the Theoretical Probability of rolling a 3 on a 6-sided die?

Back

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

Front

If a bag contains 4 red, 2 blue, and 4 green marbles, what is the Theoretical Probability of drawing a red marble?

Back

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

Front

What is the Experimental Probability of an event that occurred 15 times out of 50 trials?

Back

Experimental Probability = 15/50 = 3/10.

Front

If Jon made 15 out of 35 free throws, what is his Experimental Probability of making a free throw?

Back

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

Front

What is the Theoretical Probability of drawing a green or red marble from a bag with 4 red, 3 green, and 3 blue marbles?

Back

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

Front

If Neil tossed a die 90 times and got a 1 a total of 13 times, what is the Experimental Probability of rolling a 1?

Back

Experimental Probability = 13/90.