Exploring Adding and Subtracting Rational Expressions

The video tutorial covers compound probability, focusing on independent and dependent events. It explains how to calculate probabilities for both types of events using examples such as rolling dice, tossing coins, and drawing cards. The tutorial also includes exercises for viewers to practice calculating probabilities on their own.

What defines an independent event in compound probability?

• The events must occur simultaneously.

• The outcome of one event has no impact on the outcome of another.

• The outcome of one event affects the outcome of another.

• The events must involve only two possible outcomes.

How do you calculate the probability of two independent events occurring?

• Add the probabilities of each event.

• Multiply the probabilities of each event.

• Subtract the probabilities of each event.

• Divide the probability of the first event by the second.

What is the probability of rolling an even number and then a five on a standard die?

• 1/12

• 1/18

• 1/6

• 1/36

What is the probability of flipping a coin three times and getting tails each time?

• 1/8

• 1/16

• 1/4

• 1/2

What is the probability of getting a quadrilateral shape on a spinner and then rolling a six on a die?

• 1/6

• 1/12

• 1/8

• 1/48

What is the probability of drawing an orange marble followed by a purple marble from a bag, with replacement?

• 1/24

• 1/36

• 1/18

• 1/12

How does replacing an item after drawing affect the probability of subsequent draws?

• Increases the probability of drawing the same item again.

• Changes the nature of the event to dependent.

• Decreases the total number of outcomes.

• Keeps the total number of outcomes the same.

In a dependent event scenario, how does the outcome of the first event affect the second event?

• It decreases the probability of the second event.

• It has no effect on the second event.

• It changes the total number of outcomes for the second event.

• It increases the probability of the second event.

What is the probability of drawing a red marker and then a blue marker from a box, without replacement?

• 1/25

• 3/25

• 2/25

• 4/25

If a bag contains 16 numbered lottery balls, what is the probability of drawing an even number followed by an odd number without replacement?

• 1/4

• 1/2

• 4/15

• 8/15