Probability and Expected Outcomes

The video tutorial covers the use of theoretical probability to make quantitative predictions. It begins with an introduction to theoretical probability and its application in making predictions. The tutorial then demonstrates how to use proportional reasoning to predict outcomes when rolling a dice and assigning sales tasks. It further explores predicting dice rolls greater than 2 and the probability of getting tails in a coin flip. The lesson concludes with a transition to qualitative predictions.

What is the main focus of theoretical probability?

• Predicting outcomes based on qualitative data

• Predicting outcomes based on random guesses

• Predicting outcomes based on measurable data

• Predicting outcomes based on past experiments

How do you determine the number of times a specific outcome will occur using proportional reasoning?

• By using the average of all possible outcomes

• By guessing the most likely outcome

• By counting the number of successful outcomes

• By using the total number of trials and the probability of the outcome

What is the probability of rolling a 2 or a 3 on a standard number cube?

• 1/6

• 1/2

• 1/3

• 2/3

If Sarah works 32 days, how many days should she expect to work in the perfume section?

• 4 days

• 16 days

• 8 days

• 12 days

What is the probability of being assigned to the perfume section if there are four sections?

• 1/2

• 1/3

• 1/5

• 1/4

What is the probability of rolling a number greater than 2 on a standard number cube?

• 3/4

• 1/2

• 1/3

• 2/3

How many times can you expect to roll a number greater than 2 if you roll a number cube 180 times?

• 90 times

• 150 times

• 120 times

• 60 times

What is the probability of getting tails when flipping a fair coin?

• 2/3

• 1/2

• 1/3

• 1/4

If you flip a coin 100 times, how many times should you expect it to land on tails?

• 25 times

• 100 times

• 50 times

• 75 times

What is the next topic after quantitative predictions in the lesson?

• Advanced algebra

• Qualitative predictions

• Experimental probability

• Statistics