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Unit 6 Lesson 1
Understanding
Probability
Essential Question:
What is the likeliness of an event
occurring based on the probability near
0, 1/2, or 1?
Understanding Probability
• Probability is a number from 0 to 1
that shows the likelihood that an
event will occur.
– Probability close to 0 means an event is
unlikely.
• Example: Kevin Durant walking into our
math class.
– Probability close to 1 means an event is
likely.
• Example: Our entire team being promoted
to the 8th grade.
Example 1
Describe each
outcome using
terms such as
impossible, cert
ain, likely, or
equally likely.
Julia has a bag
with 15 colored
marbles in it.
A. The probability
that Julia will
draw a red marble
from the bag is
1/15.
B. The probability
that she will draw
a green marble is
7/15.
Theoretical Probability
• Theoretical probability allows us to
predict how many times an event
would likely occur in a certain
number of trials.
Experimental Probability
Since we do not live in a perfect
world, your prediction may be close
to, but not exactly equal to, your
results. The actual outcomes are the
experimental probability.
Example 2
A CD has only 1 pop song and 12
country songs on it. What is the
probability that a song randomly
selected at random will be a pop
song? Determine if the event is
likely, unlikely, or neither.
Are YOU
Paying
Attention?
Suppose you roll a
number cube with
faces numbered 1 to
6. What is the
probability of the
cube landing on a
number less than 7?
Guided Practice
• This spinner is
divided into six
congruent
sections. What is
the experimental
probability of
spinning a 2?
1. Spin the spinner
18 times.
2. Tally each time a
number is spun.
3. Total the tally
marks.
Num
ber
Tall
ies
Times
Spun
1
2
3
4
5
6
Guided Practice
• Compare the your experimental
probability to the theoretical
probability of spinning a 2.
 Experimental probability: _____
 Theoretical probability: _____
• The experimental probability that I
found is _______________ the
theoretical probability.
So, what do you remember?
Determine whether each event is
impossible, unlikely, as likely as not (
same as equally likely), likely, or
certain.
1. Bonnie’s Spanish club meets on
Tuesday afternoons. How likely is it that
Bonnie is at the mall on Tuesday
afternoon?
2. There are 12 trucks and 12 cars in a
parking lot. How likely is it that the next
vehicle to move is a van?
Find the probability.
3. It has rained on the last 2 out of 10
Assignments
 Classwork
1. Textbook page 630 (1 – 5)
2. Textbook page 634 (1 – 5)
 Use one answer column for both pages.
 Homework
1. Introduction to Probability worksheet.
 REMINDER: Classwork not completed in
class should be completed as homework.
 You can come in during homeroom to borrow a
textbook to complete your classwork.
 Or, you may take a picture, WITH
PERMISSION, of the pages at the end of class.

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Notes-unit 6 Lesson 1

  • 1. Unit 6 Lesson 1 Understanding Probability Essential Question: What is the likeliness of an event occurring based on the probability near 0, 1/2, or 1?
  • 2. Understanding Probability • Probability is a number from 0 to 1 that shows the likelihood that an event will occur. – Probability close to 0 means an event is unlikely. • Example: Kevin Durant walking into our math class. – Probability close to 1 means an event is likely. • Example: Our entire team being promoted to the 8th grade.
  • 3. Example 1 Describe each outcome using terms such as impossible, cert ain, likely, or equally likely. Julia has a bag with 15 colored marbles in it. A. The probability that Julia will draw a red marble from the bag is 1/15. B. The probability that she will draw a green marble is 7/15.
  • 4. Theoretical Probability • Theoretical probability allows us to predict how many times an event would likely occur in a certain number of trials.
  • 5. Experimental Probability Since we do not live in a perfect world, your prediction may be close to, but not exactly equal to, your results. The actual outcomes are the experimental probability.
  • 6. Example 2 A CD has only 1 pop song and 12 country songs on it. What is the probability that a song randomly selected at random will be a pop song? Determine if the event is likely, unlikely, or neither.
  • 7. Are YOU Paying Attention? Suppose you roll a number cube with faces numbered 1 to 6. What is the probability of the cube landing on a number less than 7?
  • 8. Guided Practice • This spinner is divided into six congruent sections. What is the experimental probability of spinning a 2? 1. Spin the spinner 18 times. 2. Tally each time a number is spun. 3. Total the tally marks. Num ber Tall ies Times Spun 1 2 3 4 5 6
  • 9. Guided Practice • Compare the your experimental probability to the theoretical probability of spinning a 2.  Experimental probability: _____  Theoretical probability: _____ • The experimental probability that I found is _______________ the theoretical probability.
  • 10. So, what do you remember? Determine whether each event is impossible, unlikely, as likely as not ( same as equally likely), likely, or certain. 1. Bonnie’s Spanish club meets on Tuesday afternoons. How likely is it that Bonnie is at the mall on Tuesday afternoon? 2. There are 12 trucks and 12 cars in a parking lot. How likely is it that the next vehicle to move is a van? Find the probability. 3. It has rained on the last 2 out of 10
  • 11. Assignments  Classwork 1. Textbook page 630 (1 – 5) 2. Textbook page 634 (1 – 5)  Use one answer column for both pages.  Homework 1. Introduction to Probability worksheet.  REMINDER: Classwork not completed in class should be completed as homework.  You can come in during homeroom to borrow a textbook to complete your classwork.  Or, you may take a picture, WITH PERMISSION, of the pages at the end of class.