Understanding Theoretical Probability

Warm-up

Math Response

Solve without a calculator: $$3\left(-9\right)+6$$

Type answer here

Correct Answer: -21

Deg^°

Rad

Math Response

Solve without a calculator: $$\frac{-8+6}{2}$$

Type answer here

Correct Answer: -1

Deg^°

Rad

Theoretical vs. Experimental Probability

​Theoretical vs Experimental

Examples

There are four blue and four green shirts in your closet. What is the probability you grab a blue shirt to wear on Monday?





Theoretical or Experimental?



What's the answer?

Examples

A coin is tossed 80 times and lands on tails 44 times. What is the probability of landing on tails?





Theoretical or Experimental?



What's the answer?

Multiple Choice

What is the probability that a student drank an apple juice for breakfast?

Apple Juice - 11

Orange Juice - 17

Milk - 22

• Theoretical; 11/50

• Experimental; 11/50

Multiple Choice

What is the probability that a student flips a tails on a coin?

• Theoretical; 50%

• Experimental; 50%

Multiple Choice

John’s teacher wrote the letters W, I, N, N, E, and R on separate cards and put them into a hat. Without looking, John pulled a card out of the hat. What is the probability John will pull out a vowel?

• Theoretical; 1/3

• Experimental; 1/3

What is the Theoretical Probability?

What is the Experimental Probability?

Is the THEORETICAL probability {greater than, less than, or equal to} the EXPERIMENTAL probability?

A coin was flipped 10 times and 4 of the 10 flips resulted in heads. Compare the experimental probability of flipping heads to the theoretical probability of flipping heads.

Theoretical vs Experimental
Relationship