Probability Concepts and Events

This video tutorial covers the concept of compound events and how to calculate their probabilities using tree diagrams. It explains the sample space and demonstrates the use of tree diagrams through a game night scenario. The tutorial includes exercises to practice calculating probabilities and understanding outcomes, emphasizing the importance of recognizing all possible outcomes in compound events.

What is a compound event in probability?

• An event that combines two or more simple events

• An event with only one possible outcome

• An event that cannot occur

• An event with a 100% probability

How many possible outcomes are there when flipping three coins?

• 4

• 6

• 2

• 8

What does the sample space represent in probability?

• The most likely outcome

• The set of all possible outcomes

• The total number of trials

• The least likely outcome

In a tree diagram, what does each branch represent?

• A stage in the event

• A probability value

• A combination of outcomes

• A single outcome

If a four-sided die is used, what is the probability of rolling a number that results in a board game?

• 0.25

• 0.50

• 0.75

• 1.00

What is the probability of playing a card game every night for three nights?

• 1.6%

• 14%

• 57.8%

• 42%

How many outcomes show exactly two board games over three nights?

• 1

• 2

• 3

• 4

What is the probability of playing at least one card game over three nights?

• 75%

• 100%

• 57.8%

• 42%

What is the probability of rolling a one on a four-sided die?

• 0.50

• 0.25

• 0.10

• 0.75

In a scenario with equal probability for boys and girls, what is the probability of having three girls in a row?

• 50%

• 75%

• 25%

• 12.5%