Probability of Independent and Dependent Events 11-5

Independent Events The occurrence of one event has no effect on the probability that a second event will occur. Example Erika rolls a 3 on one number cube and a 2 on another number cube.

Probability of Two Independent Events P(A and B) = P(A) P(B) Example Find the probability of flipping a coin and getting heads and then rolling a 6 on a number cube. P(heads and 6) = P(heads) P(6)

Dependent Events The occurrence of one event does have an effect on the probability that a second event will occur. Example A boy chooses a sock from a drawer of socks, then chooses a second sock without replacing the first.

Probability of Two Dependent Events P(A and B) = P(A) P(B after A) Example Find the probability of drawing a red marble from a bag of 6 red and 4 blue marbles, without replacing it, and then drawing a blue marble. P(red and blue) = P(red) P(blue after red)

Your Turn! Create your own independent event and dependent event. *Make sure you know the answer to each problem Then switch with your neighbor and have them find the probability of each event. Then discuss your answers with each other.

Independent Practice Page 650 and 651 Problems 8-12

Closing What is the difference between independent and dependent events.

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