Theoretical & Experimental probability

When we are reading a word problem what are some key words we should look for when identifying if I'm solving for theoretical or experimental probability?

What is experimental probability?

• What is expected to happen

• What actually happens when you try it

What is theoretical probability?

• What is expected to happen

• What actually happens when you try it

Check all the options that describe Theoretical probability

• In theory

• What is expected to happen

• Experiment

• $\frac{Number\ of\ times\ an\ event\ occurs}{Number\ of\ trials}$

Theoretical probability is the same as finding the probability of a simple event

• True

• False

Check all the options that describe Experimental Probability

• Experiment

• What happens when you actually do it

• You will be given data

• $\frac{Favorable\ outcomes}{Total\ possible\ outcome}$

Favorable outcomes is "what we want to happen"

• True

• False

Tara is a restaurant hostess and seats customers at different tables randomly. There are 15 regular tables and 10 booth tables. Each kind of table can seat 4 people. What is the probability that the first customer will be seated at a booth table?

• Theoretical Probability

• Experimental Probability

Raymond has different fruit cups in his refrigerator.

4 cups of peach fruit, 4 cups of pineapple fruit, 2 cups of pear fruit, and 2 cups of mandarin fruit. Raymond will randomly choose 1 fruit cup. What is the probability that he will choose a pear or pineapple fruit cup?

• Theoretical

• Experimental

Aleena conducted a survey about the number of pets students in his classroom have. The table shows her results?

Based on these results, what is the experimental probability that the next student will own 2 or 3 pets?

• Survey

• Table

• OR

• Experimental