Probability and Compound Events

The video tutorial explores compound probability, starting with simple events and moving to compound events, which consist of multiple simple events. It distinguishes between dependent and independent events, using examples like picking gems from a bag. The tutorial explains how to calculate possible outcomes for compound events, such as flipping a coin and spinning a spinner. It introduces experimental probability, showing how to record results using tally marks and calculate probabilities. The video concludes with a practical exercise, encouraging viewers to try flipping two coins to find the probability of both landing heads.

What is a simple event?

• An event with multiple outcomes

• An event with only one outcome

• An event that depends on another event

• An event that involves flipping a coin

Which of the following is a compound event?

• Picking a single gem from a bag

• Rolling two number cubes

• Flipping a coin

• Rolling a number cube

In a dependent event, what happens to the probability of the second event?

• It depends on the outcome of the first event

• It decreases

• It increases

• It remains the same

What is the probability of picking a blue gem from a bag with 3 pink and 2 blue gems, if the gem is replaced after each pick?

• 2/5

• 1/5

• 4/5

• 3/5

Which of the following is an example of an independent compound event?

• Rolling a number cube twice without replacement

• Picking a gem from a bag without replacement

• Picking two cards from a deck without replacement

• Flipping a coin and rolling a number cube

How many possible outcomes are there when flipping a coin and spinning a spinner with three colors?

• 6

• 2

• 3

• 5

What is the probability of getting heads and red when flipping a coin and spinning a spinner with red, blue, and yellow?

• 1/3

• 1/6

• 1/4

• 1/2

How can you record the results of a compound event experiment?

• Using a line graph

• Using tally marks in a table

• Using a pie chart

• Using a bar graph

If you conduct 50 trials of flipping two coins, what should the sum of the row totals be?

• 25

• 50

• 75

• 100

What is the experimental probability of an event if it occurs 15 times out of 50 trials?

• 0.5

• 0.3

• 0.75

• 0.15