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Published byMyrtle Edwards Modified over 8 years ago
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Engage NY Lesson #1 Independent and Dependent Events
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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.
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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.
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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?
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Independent/Dependent Events: State whether the events are independent or dependent. Calculate the probability.
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Independent/Dependent Events: State whether the events are independent or dependent. Calculate the probability.
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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)
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