Independent and Dependent Events
Explore the concepts of independent and dependent events through various scenarios such as flipping coins, selecting marbles, and rolling dice. Understand how the outcome of one event can influence the probability of another, and learn how to calculate the probabilities of both independent and dependent events. Practice applying these concepts through engaging examples and visual aids to enhance your grasp on probability theory.
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Presentation Transcript
12.5 Independent and Dependent Events
Independent Events- one event does not affect the other. Dependent Events- one event does affect the other. Event A: Teacher sends a student outside, from a table. Event B: Teacher sends a student outside, from another table. Are the events independent or dependent? Event A: We select a student to do the noontime activity. Event B: We select a student to be backup person for the noontime activity. Are the events independent or dependent?
Tell whether the events are independent or dependent. A coin is flipped two times. Event A: The first flip lands heads. Event B: The second flip lands tails. Are the events independent or dependent? A jar contains 3 green and 3 red marbles. You randomly choose one marble. Without replacing the marble, you choose another marble. Event A: The first marble is red. Event B: The second marble is green. Are the events independent or dependent?
Probability of Independent Events = ( ) ( ) P A ( ) P B P AandB
You roll a cube once and then roll it again. What is the probability that you get a 1 on the first roll and a even number on the second roll? 1 6 1 2 1 12
Probability of Dependent Events = ( ) ( ) P A ( ) P AandB P BafterA
You select a letter from random with our replacing it, you select a second letter. PRE ALGEBRA What is the probability of selecting an E then A. 2 2 10 9 2 45
Homework Workbook Page 103 (1-17) all
