Warm-Ups

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Warm-Ups

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Probability
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43
42 34 44
32 24 25 53 36
13 23 33 52 35 63 46
21 31 14 51 61 26 45 64 65
11 12 22 41 15 16 62 54 55 56 66
1 2 3 4 5 6 7 8 9 10 11 12
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Probability Terms

• Probability- how likely something will happen
• Outcome- result of an action
• Event- collection of possible outcomes
• Complement- collection of outcomes not contained
  in the event
• Formula number of favorable outcomes
• total number of possible outcomes

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Probability

• Between 0 and 1
• Can be written as a fraction, decimal or percent
• The closer to one a number is, the more likely
  the event will occur

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Probability Terms

• Vowel letters A, E, I, O, U
• Consonant the remaining 21 letters
• Even s 2, 4, 6, 8, 10
• Odd s 1, 3, 5, 7, 9, 11
• Multiples count by that
• Die 1 number cube
• Dice 2 or more number cubes

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Practice
B

• Probability of picking a vowel
• Probability of picking a red chip
• Probability of picking a consonant

A
C
D
E
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Practice- Use 1 number cube

• P(even number)
• P(odd number)
• P(larger than 2)
• P(less than 4)

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Sample Spaces

• Collection of all possible outcomes
• Make a table to organize your data
• Create a table for all possibilities for rolling
  2 number cubes

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Outcomes from 2 dice
1 2 3 4 5 6
1 1,1 2,1 3,1 4,1 5,1 6,1
2 1,2 2,2 3,2 4,2 5,2 6,2
3 1,3 2,3 3,3 4,3 5,3 6,3
4 1,4 2,4 3,4 4,4 5,4 6,4
5 1,5 2,5 3,5 4,5 5,5 6,5
6 1,6 2,6 3,6 4,6 5,6 6,6
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Tree Diagrams

• Suppose you are going to travel on a river. You
  have two choices of boatsa kayak or a rowboat.
  You can go upstream on three smaller streams, to
  the north, northwest and northeast. What is the
  sample space for your journey?

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Tree Diagram
North
Sample Space KN, KNW, KNE, RN, RNW, RNE
Northwest
Kayak
Northeast
North
Northwest
Rowboat
Northeast
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Make a tree diagram for tossing a coin three
times.
Heads
Sample Space HHH, HHT, HTH, HTT, THH, THT, TTH,
TTT
Heads
Tails
Heads
Heads
Tails
Tails
Heads
Tails
Heads
Tails
Heads
Tails
Tails
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Warm-Ups

1. The square root of 127 is between what two
   numbers?
2. Convert 3/7 to a decimal and a percent.

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Hair Color

1. How many people are in the group?
2. Find the probability of having brown hair.
3. Find the probability of not having black hair.

Color Number
Blond 58
Brown 64
Black 97
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Warm-Ups

1. y 10.2 12
2. g 5 -9.4
3. Fingernails grow about 1.5 inches per year. How
   long would it take to grow nails 37 inches long?

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Warm-Ups

1. 10k 20 100
2. Find the mean, median, mode and range 5, 9, 2,
   10, 15, 5
3. What is the 12th term of the sequence 6n-5 where
   n represents the position of a term in the
   sequence?

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Which problem situation matches the equation 2
5 6 x?

• Petra is 2 years old, Anja is 5 years old and
  Heinz is 6 years old. Find x, the average age of
  these three children.
• Diana has 2 pennies, 5 dimes and 6 nickels. Find
  x, the total amount of money Diana has.
• The can opener uses 2 amps, the toaster uses 5
  amps and the microwave oven uses 6 amps. Find x,
  the total amps all will use if operated at the
  same time.
• Joshua has 6 play shirts. Of these, he can use 2
  as dress shirts. Including those 2, he has 5
  dress shirts. Find x, the total number of shirts
  Joshua has.

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Esther is paid 0.50 a page plus 2 an hour for
typing research papers for college students.
Which equation could be used to determine the
number of pages x she typed if it took her 6
hours and her fee was 34?

1. 0.5x 2(6) 34
2. 2x 0.5(6) 34
3. 2(6 0.5x) 34
4. 0.5x 6 34
5. 2x 50(6) 34