notes over 12.5 probability of independent events 1. you are playing a game with 2 numbered cubes....

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Notes Over 12.5 Probability of Independent Probability of Independent Events Events 1. You are playing a game with 2 numbered cubes. Find the probability of rolling a sum of 8 on the first roll and doubles on the second roll. 5 36 6 36 6 216 5 .023 0

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Page 1: Notes Over 12.5 Probability of Independent Events 1. You are playing a game with 2 numbered cubes. Find the probability of rolling a sum of 8 on the first

Notes Over 12.5Probability of Independent EventsProbability of Independent Events1. You are playing a game with 2 numbered cubes. Find the probability of rolling a sum of 8 on the first roll and doubles on the second roll.

5

36

6

366 216

5 .0230

Page 2: Notes Over 12.5 Probability of Independent Events 1. You are playing a game with 2 numbered cubes. Find the probability of rolling a sum of 8 on the first

Notes Over 12.5Probability of Independent EventsProbability of Independent Events2. Find the probability of rolling an even sum on the first roll and a sum greater than 8 on the second roll.

18

36

10

3618 36

5 .1390

5

2

Page 3: Notes Over 12.5 Probability of Independent Events 1. You are playing a game with 2 numbered cubes. Find the probability of rolling a sum of 8 on the first

Notes Over 12.5Using a Complement to Find a ProbabilityUsing a Complement to Find a Probability3. The probability of selecting a rotten apple from a basket of apples is 12%. What is the probability of selecting 2 good apples and 1 rotten apple.

AA'A'A and A' and A' PPPP

88.0 88.0 12.0 .0930

Page 4: Notes Over 12.5 Probability of Independent Events 1. You are playing a game with 2 numbered cubes. Find the probability of rolling a sum of 8 on the first

Notes Over 12.5

4. The probability of selecting a rotten apple from a basket of apples is 12%. What is the probability of selecting 3 rotten apples.

AAAA andA andA PPPP

12.0 .00170

Using a Complement to Find a ProbabilityUsing a Complement to Find a Probability

12.0 12.0

Page 5: Notes Over 12.5 Probability of Independent Events 1. You are playing a game with 2 numbered cubes. Find the probability of rolling a sum of 8 on the first

Notes Over 12.5

5. A gumball machine contains 100 gumballs, twenty of each of the colors red, blue, green, white, and yellow. What is the probability of getting a blue gumball then a white gumball.

ABAB andA PPP

100

20

99

20

99

4

5.0400

Probability of Dependent EventsProbability of Dependent Events

4

Page 6: Notes Over 12.5 Probability of Independent Events 1. You are playing a game with 2 numbered cubes. Find the probability of rolling a sum of 8 on the first

Notes Over 12.5

6. A gumball machine contains 100 gumballs, twenty of each of the colors red, blue, green, white, and yellow. What is the probability of getting a green, then red, then blue gumball.

ABAB andA PPP

100

20

99

20

4851

40

5.0080

Probability of Dependent EventsProbability of Dependent Events

98

20

10

49

2

Page 7: Notes Over 12.5 Probability of Independent Events 1. You are playing a game with 2 numbered cubes. Find the probability of rolling a sum of 8 on the first

98

18

Notes Over 12.5

7. A gumball machine contains 100 gumballs, twenty of each of the colors red, blue, green, white, and yellow. What is the probability of getting a blue, then blue, then blue gumball.

ABAB andA PPP

100

20

99

19

2695

19

50.0070

Probability of Dependent EventsProbability of Dependent Events

10

49

9

5 11

Page 8: Notes Over 12.5 Probability of Independent Events 1. You are playing a game with 2 numbered cubes. Find the probability of rolling a sum of 8 on the first

Notes Over 12.5

8. A gumball machine contains 100 gumballs, twenty of each of the colors red, blue, green, white, and yellow. What is the probability of getting a yellow, then another yellow gumball.

ABAB andA PPP

100

20

99

19

495

19

5.0380

Probability of Dependent EventsProbability of Dependent Events

Page 9: Notes Over 12.5 Probability of Independent Events 1. You are playing a game with 2 numbered cubes. Find the probability of rolling a sum of 8 on the first

Notes Over 12.5