M7 Homework 2: Experimental Probability

Front

What is experimental probability?

Back

Experimental probability is the probability of an event based on the results of an experiment or trial, calculated as the number of times the event occurs divided by the total number of trials.

Front

How do you calculate experimental probability?

Back

To calculate experimental probability, use the formula: P(event) = (Number of times event occurs) / (Total number of trials).

Front

If a spinner is spun 75 times and lands on '3' thirty times, what is the experimental probability of landing on '3'?

Back

P(3) = 30/75 = 0.4 or 40%.

Front

Tammy rolled a die five times and got: 1, 3, 3, 4, & 4. What is the experimental probability of rolling a 3?

Back

P(3) = 2/5.

Front

What is theoretical probability?

Back

Theoretical probability is the probability of an event calculated based on the possible outcomes in a perfect scenario, without conducting an experiment.

Front

What is the formula for theoretical probability?

Back

Theoretical probability is calculated using the formula: P(event) = (Number of favorable outcomes) / (Total number of possible outcomes).

Front

What is relative frequency in probability?

Back

Relative frequency is the ratio of the number of times an event occurs to the total number of trials, often used to estimate probabilities.

Front

If a coin is flipped 24 times and lands on heads 13 times, what is the relative frequency of landing on heads?

Back

Relative frequency of heads = 13/24.

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 without conducting experiments.

Front

If a spinner has 4 equal sections and lands on '2' 20 times out of 100 spins, what is the experimental probability of landing on '2'?

Back

P(2) = 20/100 = 0.2 or 20%.