Probability of Compound Events

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Probability of Compound Events

• Finding the probability of independent and
  dependent events

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Probability of Independent Events

• Independent events
• __________________________________
• If A and B are independent events
• P(A and B) ________________
• Steps to solve

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Probability of Independent Events

• Independent events
• Events that do not influence one another
• If A and B are independent events
• P(A and B) P(A) P(B)
• Steps to solve 1)Find both probabilities
  separately
• 2) Multiply them together.
  

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Probability of Independent Events

• EXAMPLE OF INDEPENDENT EVENTS
• You have 2 spinners what is the probability of
  getting a 1 on the first spinner and a A on the
  second spinner?

A
2
A
1
C
4
B
3
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Probability of Independent Events

• EXAMPLE OF INDEPENDENT EVENTS
• These events are independent because getting a 1
  on the first spinner will not effect what you
  spin on the second spinner.
• To solve find both probabilities separately then
  multiply them together.

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Probability of Independent Events

• EXAMPLE OF INDEPENDENT EVENTS
• You have 2 spinners what is the probability of
  getting a 1 on the first spinner and a A on the
  second spinner?
• P(1 in first spinner)
• P(A in second spinner)
• P(1 THEN A)

2
1
4
3
A
A
C
B
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Probability of Independent Events

• EXAMPLE OF INDEPENDENT EVENTS
• You have 2 spinners what is the probability of
  getting a 1 on the first spinner and a A on the
  second spinner?
• P(1 in first spinner)
• P(A in second spinner)
• P(1 THEN A)

2
1
4
3
5
6
8
7
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Probability of Dependent Events

• Dependent events
• _________________________________
• If A and B are dependent events
• P(A then B) ________________
• Steps to solve

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Probability of Dependent Events

• Dependent events
• Events that do influence one another
• If A and B are dependent events
• P(A then B) P(A) P(B after A)

Steps to solve Separate into two
probabilities Find each one separately Multiply
the two probabilities together
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Probability of Dependent Events

• EXAMPLE OF DEPENDENT EVENTS
• You have a deck of cards, you pick a card, DONT
  replace it, then pick a new card.
• (Selection
  without replacement)
• These events are dependent because what you pick
  the first time does effect what you pull the
  second time.
• What is the probability of getting two red cards?
• P(red, red) ?

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Probability of Dependent Events

• EXAMPLE OF DEPENDENT EVENTS
• You have a deck of cards, you pick a card, DONT
  replace it, then pick a new card.
• (Selection
  without replacement)
• These events are dependent because what you pick
  the first time does effect what you pull the
  second time.
• What is the probability of getting two red cards?
• P(red, red) P(red) P(red after 1 red is
  gone)
• 1/2 12/51
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