p4. probability essential question: how is an independent event defined?

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P4. Probability Essential Question: How i an independent event defined?

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P4. Probability Independence: When the outcome of one event does not impact the outcome of another event.

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Page 1: P4. Probability Essential Question: How is an independent event defined?

P4. Probability

Essential Question: How is an independent event defined?

Page 2: P4. Probability Essential Question: How is an independent event defined?

Activation

How are these two situations different:

There are 5 marbles in a bag what is the probability of getting a red one on the second try if three are red and 2 are blue if you choose a marble and replace it?

There are 5 marbles in a bag what is the probability of getting a red one on the second try if three are red and 2 are blue if you choose a marble but keep it out?

Page 3: P4. Probability Essential Question: How is an independent event defined?

P4. Probability

Independence: When the outcome of one event does not impact the outcome of another event.

Page 4: P4. Probability Essential Question: How is an independent event defined?

Probability

If all outcomes are successful, the probability will be 1

If no outcomes are successful, the probability will be 0

So…Probability is 0 ≤ P ≤ 1

outcomes possible allresponses desired of # TheyProbabilit

Page 5: P4. Probability Essential Question: How is an independent event defined?

ExamplesWhat is the probability of getting an ace from a deck of 52 cards?

What is the probability of rolling a 3 on a 6 sided die?

Page 6: P4. Probability Essential Question: How is an independent event defined?

More ExamplesWhat is the probability of rolling an even number?

Page 7: P4. Probability Essential Question: How is an independent event defined?

More ExamplesWhat is the probability of getting a total of 5 when a red die and green die is rolled?

+ 1 2 3 4 5 61 2 3 4 5 6 72 3 4 5 6 7 83 4 5 6 7 8 94 5 6 7 8 9 105 6 7 8 9 10 116 7 8 9 10 11 12

Page 8: P4. Probability Essential Question: How is an independent event defined?

More ExamplesWhat is the probability of getting 2 spades when 2 cards are dealt at the same time?

Page 9: P4. Probability Essential Question: How is an independent event defined?

Home Work

Worksheet 4