Probability (Experimental and Theoretical)

Front

What is experimental probability?

Back

Experimental probability is the ratio of the number of times an event occurs to the total number of trials conducted. It is calculated based on actual experiments.

Front

What is theoretical probability?

Back

Theoretical probability is the ratio of the number of favorable outcomes to the total number of possible outcomes in a given situation, based on mathematical reasoning.

Tags

CCSS.7.SP.C.7A

Front

How do you calculate experimental probability?

Back

Experimental probability = (Number of times the event occurs) / (Total number of trials)

Front

If a spinner has 10 equal sections, what is the theoretical probability of landing on any one section?

Back

Theoretical probability = 1/10 or 10%.

Tags

CCSS.7.SP.C.7A

Front

What is the experimental probability of landing on heads if a coin is tossed 18 times and lands on heads 12 times?

Back

Experimental probability of heads = 12/18 = 2/3.

Tags

CCSS.7.SP.C.6

Front

What is the experimental probability of landing on tails if a coin is tossed 18 times and lands on heads 12 times?

Back

Experimental probability of tails = (Total tosses - Heads) / Total tosses = (18 - 12) / 18 = 6/18 = 1/3.

Tags

CCSS.7.SP.C.6

Front

If a spinner is spun 30 times and lands on blue 12 times, what is the experimental probability of landing on a color that is not blue?

Back

Experimental probability of not blue = (Total spins - Blue spins) / Total spins = (30 - 12) / 30 = 18/30 = 3/5.

Tags

CCSS.7.SP.C.6

Front

What is the theoretical probability of picking a purple marble from a bag containing 2 purple marbles and 13 other marbles?

Back

Theoretical probability = Number of purple marbles / Total marbles = 2 / (2 + 13) = 2/15.

Tags

CCSS.7.SP.C.7B

Front

If a die is rolled 90 times and the number 1 appears 13 times, what is the experimental probability of rolling a 1?

Back

Experimental probability of rolling a 1 = 13/90.

Tags

CCSS.7.SP.C.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.