Exploring Compound Events and Their Outcomes

This video tutorial covers the concept of compound events in probability, explaining how to find the sample space using tree diagrams and tables. It demonstrates examples with sandwiches, dice, and coins, and introduces a quick method to calculate possible outcomes. The video also explains how to calculate the probability of compound events using these methods.

What is the total number of sandwich combinations possible with wheat or sourdough bread and four types of fillings?

• 12 combinations

• 6 combinations

• 8 combinations

• 4 combinations

If a sandwich shop introduces multigrain bread, how many sandwich combinations would be possible?

• 8 combinations

• 24 combinations

• 12 combinations

• 16 combinations

What does a tree diagram help to find in probability?

• Sample space

• Numerical value

• Percentage outcome

• Single event probability

How many outcomes are possible when rolling a dice and flipping a coin?

• 6 outcomes

• 12 outcomes

• 8 outcomes

• 24 outcomes

How many different outcomes are possible when spinning a spinner and choosing a number from 1 to 5?

• 25 outcomes

• 10 outcomes

• 30 outcomes

• 5 outcomes

What method can quickly determine the total number of outcomes for two or more events?

• Subtraction method

• Multiplication method

• Addition method

• Division method

Using the quick method, how many outfits can be made from 4 t-shirts, 5 pairs of jeans, and 5 pairs of shoes?

• 60 outfits

• 100 outfits

• 20 outfits

• 200 outfits

If a closet contains 4 types of jeans, 7 t-shirts, and 3 pairs of shoes, how many outfit combinations are possible?

• 84 outfits

• 14 outfits

• 21 outfits

• 100 outfits

What is the probability of rolling a number greater than 4 and flipping tails?

• 1/3

• 1/6

• 1/12

• 2/12

What is the probability of rolling less than 5 and flipping heads?

• 3/4

• 1/3

• 1/2

• 2/3