Experimental Probability and Compound Events

This video tutorial explores compound probability, starting with simple events and moving to compound events, which consist of two or more simple events. It explains the difference between dependent and independent events, using examples like picking gems from a bag and flipping coins. The tutorial also covers calculating possible outcomes and introduces experimental probability, demonstrating how to record results using tally marks. The lesson concludes with a home experiment suggestion to find the probability of flipping two coins and both landing heads.

What is a simple event?

• An event that involves flipping a coin

• An event that depends on another event

• An event with only one outcome

• An event with multiple outcomes

Which of the following is a compound event?

• Picking a single gem from a bag

• Flipping a coin

• Rolling a number cube

• Rolling two number cubes

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

• It increases

• It depends on the first event

• It decreases

• It remains the same

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

• 2/5

• 3/5

• 4/5

• 1/5

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

• Picking a card from a deck and not replacing it

• Flipping a coin and rolling a die

• Picking two gems without replacement

• Rolling two dice and adding the results

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

• 3

• 5

• 6

• 2

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

• 1/6

• 1/4

• 1/3

• 1/2

If you repeat a compound event 20 times, what is the denominator in the experimental probability ratio?

• 40

• 30

• 20

• 10

What is the experimental probability of getting heads and yellow if it occurs 6 times out of 20 trials?

• 0.2

• 0.3

• 0.4

• 0.5

How many trials are needed to find the experimental probability of two coins both landing heads?

• 20

• 50

• 100

• 10