Probability and Compound Events

The video tutorial explores compound probability, distinguishing between simple and compound events. It explains dependent and independent events using examples like picking gems from a bag. The tutorial covers calculating possible outcomes for compound events, such as flipping coins and spinning spinners. It demonstrates how to use trials to determine experimental probability and encourages practical application through exercises.

What is a simple event?

• An event that depends on another event

• An event with only one outcome

• An event that involves flipping a coin

• An event with multiple outcomes

Which of the following is a compound event?

• Rolling a number cube

• Flipping a coin

• Rolling two number cubes

• Picking a single card from a deck

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

• 2/5

• 3/5

• 1/5

• 4/5

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

• Picking two marbles from a bag without replacement

• Flipping a coin and rolling a number cube

• Rolling a die twice without replacement

• Picking two cards from a deck without replacement

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

• 12

• 9

• 6

• 3

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

• 1/4

• 1/2

• 1/3

• 1/6

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

• 0.2

• 0.5

• 0.3

• 0.4

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

• Using a line graph

• Using tally marks in a table

• Using a bar graph

• Using a pie chart

What is the denominator in the experimental probability ratio if an experiment is conducted 50 times?

• 75

• 100

• 50

• 25