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 and introduces experimental probability through trials. It concludes with a practical exercise for viewers to try at home, reinforcing the concepts of compound probability and experimental probability.

What is a simple event?

• An event with multiple outcomes

• An event with only one outcome

• An event that involves flipping a coin

• An event that depends on another event

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

• Flipping a coin

• Picking a single card from a deck

• Rolling a single die

• Rolling two dice

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

• It remains the same

• It increases

• It decreases

• It depends on the outcome of the first event

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?

• 4/5

• 3/5

• 2/5

• 1/5

Which of the following is true for independent compound events?

• The events must occur simultaneously

• The occurrence of one event does not affect the other

• The events must involve the same objects

• The outcome of one event affects the other

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

• 6

• 5

• 3

• 2

If a spinner has three colors and a coin is flipped, what is the probability of getting heads and red?

• 1/6

• 1/3

• 1/2

• 1/5

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

• 0.2

• 0.3

• 0.4

• 0.5

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

• Using a bar graph

• Using a pie chart

• Using a line graph

• Using tally marks in a table

When conducting 50 trials of flipping two coins, what should the sum of the row totals equal?

• 50

• 100

• 25

• 75