Exploring Theoretical Probability of Compound Events

The video tutorial covers theoretical probability of compound events, building on previous lessons about single events. It explains how to calculate probabilities using dice, tree diagrams, and lists. Examples include finding the probability of rolling a sum of eight with two dice, and determining the probability of selecting specific sandwich combinations. The tutorial also explores security code probabilities and concludes with guided practice.

What is the total number of outcomes when rolling two six-sided dice?

• 48

• 12

• 24

• 36

How many successful outcomes are there for rolling a sum of eight with two dice?

• 6

• 5

• 3

• 4

What is the probability of rolling a sum of eight with two dice?

• 1/8

• 1/6

• 5/36

• 1/36

How does a tree diagram help in probability calculations?

• Increases complexity

• Visualizes outcomes

• Calculates exact probabilities

• Reduces calculation time

What is the probability of selecting a turkey and Swiss sandwich on wheat bread?

• 1/6

• 1/12

• 1/36

• 1/24

If a new 'spread' category is added with three options, what becomes the total number of sandwich combinations?

• 48

• 12

• 24

• 36

What is the probability of getting a ham sandwich without specifying bread or cheese type?

• 1/12

• 1/6

• 1/4

• 1/3

How many total outcomes are possible with a three-digit code using digits 1, 2, and 3?

• 36

• 9

• 18

• 27

What is the probability of the code '222' in a three-digit lock using digits 1, 2, and 3?

• 1/27

• 1/36

• 1/18

• 1/9

What is the probability of generating a four-digit code with exactly two zeros using digits 0 and 1?

• 1/12

• 6/16

• 1/16

• 1/8