126 Independent and Dependent Events

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12-6 Independent and Dependent Events
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Definition

• Independent Event---result of the second event is
  not affected by the result of the first.

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Example 1

• If A and B are both independent events then the
  probability of both events occuring P(A then B)
  P(A) x P(B)

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Example 2

• A grocery bin contains 3 red apples , 4 green
  apples, and 5 spoiled apples. One apple is taken
  at random from the bin and then replaced. Then
  another apple is taken at random. Find the
  probability that the first apple is red and the
  second is spoiled.

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Definition

• Dependent Event---result of one event is affected
  by the result of another event.

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Example 3

• A bag contains 3 red apples, 4 green apples, and
  5 spoiled apples. One apple is taken at random
  and not replaced. Then another apple is taken at
  random. Find the probability that the first
  apple is red and the second apple is spoiled.

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Example 4

• The same bag and conditions of the previous two
  examples are used. Find the probability of
  drawing a spoiled apple and then another spoiled
  apple without replacement.

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• Measure up Pg. 237 and 239

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Classwork/ Homework

• Pg. 478 1-9