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 and flipping coins. The tutorial explains how to calculate possible outcomes and demonstrates using trials to determine experimental probability. It concludes with a suggestion for a home experiment to practice calculating probability.

What is a simple event?

• An event with multiple outcomes

• An event that depends on another event

• An event with only one outcome

• An event that involves flipping a coin

Which of the following is a compound event?

• Rolling a single die

• Flipping a coin

• Picking a card from a deck

• Rolling two dice

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

• It depends on the first event

• It decreases

• It increases

• It remains the same

What is an example of an independent compound event?

• Picking two cards from a deck without replacement

• Flipping a coin and rolling a die

• Picking two marbles from a bag without replacement

• Rolling a die twice

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

• Two

• Nine

• Three

• Six

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

• 1/6

• 1/3

• 1/2

• 1/4

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

• Using a pie chart

• Using a line graph

• Using tally marks in a table

• Using a bar graph

What is the experimental probability of an event if it occurs 6 times out of 20 trials?

• 0.3

• 0.6

• 0.2

• 0.5

When conducting an experiment with two coins, how many trials should you perform to find the probability of both landing heads?

• 10 trials

• 20 trials

• 50 trials

• 100 trials

What should the sum of the row totals equal in a probability experiment table?

• The number of outcomes

• The number of trials

• The number of events

• The number of possible results