5.3 Experimental Probability

• What is experimental probability based on?

  Results of experiments
• Sample size does not affect experimental probability.

  False
• Outcomes are the possible results of each trial.


  True
• The formula for experimental probability is the frequency of the event divided by the total number of trials.
• How is experimental probability affected by sample size?

  Affected by sample size
• What is the formula for calculating experimental probability?

  $\frac{\text{Frequency of Event}}{\text{Total Number of Trials}}$
• Theoretical probability is calculated based on logical reasoning and possible outcomes
• What are the three steps to determine experimental probability?

  Perform experiment, count frequency, divide by trials
• What is the formula for calculating theoretical probability?

  $\frac{\text{Favorable Outcomes}}{\text{Total Possible Outcomes}}$
• Match the component of experimental probability with its definition:

  Trials ↔️ Each time an experiment is performed

  Events ↔️ Specific occurrence being measured

  Outcomes ↔️ Possible results of each trial

  Frequency ↔️ Number of times an event occurs
• Experimental probability is the ratio of the frequency of an event to the total number of trials
• Each time an experiment is performed is called a trial
• Experimental probability is calculated by dividing the frequency of an event by the total number of trials


  True
• What is experimental probability based on?

  Observed results
• What is the theoretical probability of rolling a 3 on a 6-sided die?

  1/6
• In weather forecasting, what event is measured to calculate experimental probability?

  Rainfall exceeding 1 inch
• If 75 out of 150 customers prefer Feature A, what is the experimental probability of its popularity?

  0.5 or 50%
• Theoretical probability is calculated based on the number of favorable outcomes and total possible outcomes.

  True
• An example of a trial is flipping a coin 50 times.
• What is the formula to calculate experimental probability?

  \frac{\text{Number of \times event occurs}}{\text{Total number of trials}}
• Frequency measures how often an event occurs in a series of trials.


  True
• Match the concept with its definition:

  Experimental Probability ↔️ Probability based on observed results

  Theoretical Probability ↔️ Probability based on logical reasoning
• Experimental probability provides practical estimates, especially when theoretical calculations are difficult.


  True
• The accuracy of experimental probability increases with a larger sample size.

  True
• What does the frequency of an event measure?

  Number of times an event occurs
• In 50 coin flips, heads lands 25 times. What is the experimental probability of landing heads?

  0.5 or 50%
• Frequency measures how often an event occurs.
• Theoretical probability relies on data from experiments, while experimental probability does not.

  False
• Theoretical probability uses logical reasoning, while experimental probability uses observed data.

  True
• Experimental probability in weather forecasting aids in planning for agricultural irrigation.


  True
• To determine experimental probability, you must perform an experiment or observation multiple times and count the number of times the event occurs
• What are trials in experimental probability?

  Performing an experiment
• What does frequency measure in experimental probability?

  How often an event occurs
• Steps to determine experimental probability

  1️⃣ Perform an experiment or observation multiple times

  2️⃣ Count the number of times the event occurs

  3️⃣ Divide the number of times the event occurs by the total number of trials
• Experimental probability is calculated by dividing the number of trials by the frequency of the event.

  False
• If a spinner lands on red 30 times out of 100 spins, the experimental probability of landing on red is 0.3
• The sample size affects the accuracy of experimental probability but not theoretical probability.


  True
• If a coin is flipped 50 times and lands on heads 25 times, the experimental probability of landing on heads is 0.5
• The theoretical probability of rolling a 5 on a fair die is approximately 0.167
• What is the experimental probability if heads lands 25 times in 50 coin flips?

  50%