Theoretical OR Experimental

Front

What is the difference between experimental probability and theoretical probability?

Back

Experimental probability is based on actual experiments and observations, while theoretical probability is based on the expected outcomes in a perfect scenario.

Front

Define experimental probability.

Back

Experimental probability is the ratio of the number of times an event occurs to the total number of trials conducted.

Front

Define 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.

Front

What is the formula for calculating probability?

Back

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

Front

If a six-sided die is rolled, what is the theoretical probability of rolling a 3?

Back

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

Front

In an experiment, a coin is flipped 100 times and lands on heads 55 times. What is the experimental probability of getting heads?

Back

The experimental probability of getting heads is 55/100 or 0.55.

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

How does increasing the number of trials affect experimental probability?

Back

Increasing the number of trials generally leads to experimental probability becoming closer to theoretical probability.

Front

What is the probability of drawing a pink flower from a set of 4 red, 2 pink, and 6 yellow flowers?

Back

The probability of drawing a pink flower is 2/(4+2+6) = 2/12 = 1/6.

Front

What is the probability of getting a snickerdoodle if 12 chocolate chip, 20 peanut butter, and 10 snickerdoodles are made?

Back

The probability of getting a snickerdoodle is 10/(12+20+10) = 10/42 = 5/21.