Exploring Theoretical and Experimental Probability

Mr. Richards introduces theoretical and experimental probability, explaining the difference between what should happen (theoretical) and what actually happens (experimental) in probability experiments. He uses examples like coin flips, carnival games, spinners, dice rolls, and DVD sales to illustrate these concepts. The lesson emphasizes that as the number of trials increases, experimental probability should approach theoretical probability. The video also covers how to use probability to make predictions about future events.

What is the theoretical probability of getting heads when flipping a coin?

• 1/3

• 1/4

• 2/3

• 1/2

Tags

CCSS.7.SP.C.7A

Which wheel has a uniform probability, A or B?

• Wheel A

• Wheel B

• Both

• Neither

Tags

CCSS.7.SP.C.7A

After spinning a wheel, what was the experimental probability of landing on red?

• 1/2

• 3/5

• 2/5

• 1/3

Tags

CCSS.7.SP.C.6

What is the experimental probability of spinning green after additional spins?

• 10/25

• 11/26

• 9/24

• 8/21

Tags

CCSS.7.SP.C.6

Why might the experimental probability differ from the theoretical probability?

• Insufficient trials

• Incorrect calculations

• Faulty equipment

• All of the above

What is the theoretical probability of rolling a sum of 9 with two number cubes?

• 1/8

• 2/9

• 2/8

• 1/9

Tags

CCSS.7.SP.C.7B

What is a possible reason for the discrepancy between experimental and theoretical probabilities?

• Lack of randomness

• Too many trials

• Perfect experimental conditions

• Not enough trials

How many comedy DVDs should be bought if 5,000 DVDs are expected to be sold?

• 1450

• 1500

• 1550

• 1600

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

If three coins are tossed, what is the theoretical probability of all landing on heads?

• 1/6

• 1/7

• 1/8

• 1/9

Tags

CCSS.7.SP.C.7A

In the DVD sales example, what proportion of last year's sales were drama DVDs?

• 300/2000

• 580/2000

• 670/2000

• 450/2000