Engage NY Lesson #1 Independent and Dependent Events.

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Learn to find the probabilities of independent and dependent events.

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Presentation transcript:

Engage NY Lesson #1 Independent and Dependent Events

Independent Events: Second event’s occurrence has nothing to do with the occurrence of the first event. Find the probability of selecting a 6 on the first draw and a 7 on the second draw when two balls are selected with replacement from a container with 10 balls.

Dependent Events: Second event’s occurrence has a dependence on the occurrence of the first event. Find the probability of selecting a 6 on the first draw and a 7 on the second draw when two balls are selected without replacement from a container with 10 balls.

Independent/Dependent Events: State whether the events are independent or dependent. Calculate the probability. Suppose a box of chocolates contains 15 identical looking pieces. 3 are filled with caramel, 2 with cherry cream, 2 with coconut, 4 with chocolate whip and 4 with fudge. If you randomly select two pieces of chocolate from the box and eat them, what is the probability that you will have selected: 2 filled with cherry cream? 1 filled with coconut and 1 filled with fudge? None filled with caramel?

Independent/Dependent Events: State whether the events are independent or dependent. Calculate the probability.

Independent/Dependent Events: State whether the events are independent or dependent. Calculate the probability.

Lesson Summary Two events are independent if knowing that one occurs does not change the probability that the other occurs. P(A and B) = P(A)∙P(B) Two events are dependent if knowing that one occurs changes the probability that the other occurs. P(A and B) = P(A)∙P(B|A)