Lesson 8 independent events.notebook
April 28, 2016
Please place homework on your desk.
4/28 Problem of the Day
1. Isaiah has three different colored folders (red,
green, and blue) in his notebook. How many
different ways can he arrange the three colored
folders?
2. Mrs. Smith’s class is making Valentine cards.
There are 2 colors of paper (pink or red), 3
colors of glitter (silver, gold, or red) and 4
different markers (black, white, red, or silver).
How many different cards could be made
using these supplies?
3. Samantha has a spinner with five equal
sections as shown below. What is the
probability that the spinner will land on
either a 1 or a 2 on a single spin? Express
your answer as a percent.
Mar 23­3:11 PM
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Lesson 8 independent events.notebook
April 28, 2016
4/28 Lesson 8: Probability of Independent Events
Nov 4­10:28 AM
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Lesson 8 independent events.notebook
April 28, 2016
Warm­Up Questions: Simple Probability
You have a bag of marbles with 6 blue marbles, 4 red marbles and 2 purple marbles. 1) What is the probability of getting a blue marble?
p(blue) = 1/2
2) What is the probability of getting a red marble?
p(red) = 1/3
3) What is the probability of getting a purple marble? p(purple) = 1/6
Lesson Set: Connection
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Lesson 8 independent events.notebook
April 28, 2016
You have a bag of marbles with 6 blue marbles, 4 red marbles and 2 purple marbles. What is the probability of getting a blue marble and then a red marble?
Before we can answer that, you need to know if the blue marble is put back in the bag or kept out.
Lesson Set: Hook
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Lesson 8 independent events.notebook
April 28, 2016
Mar 25­10:29 PM
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Lesson 8 independent events.notebook
April 28, 2016
Fill in the blanks.
Independent Events: The outcome of one event does not
_________ affect the probability of the outcome of another event. (or is replaced)
does
Mar 19­7:45 AM
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Lesson 8 independent events.notebook
April 28, 2016
Independent
Probability
• Pick something, then return it
• Denominator stays the same each "pick"
• Item has the same probability of being "picked" each time.
• Key words: replaced, returned, put back.
• There can be multiple picks, as long as one item is picked at a time.
Skill Development: Explain
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Lesson 8 independent events.notebook
April 28, 2016
Sort into categories.
Independent
1
Rayquan rolls a cube numbered 1 ­ 6 and flips a coin.
2
Chelsea flips a coin twice.
Not Independent
3
Briana chooses a marble from a bag and keeps it, then Clarence chooses a marble from the bag. 4
Briana chooses a marble from a bag and replaces it, then Clarence chooses a marble from the bag.
5
A woman chooses a lily from one bunch of flowers and then chooses a tulip from a different bunch. 6
Rashod guesses on two multiple choice questions.
Mar 19­7:45 AM
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Lesson 8 independent events.notebook
April 28, 2016
You toss a coin then roll a number cube
(die). Find the probability of getting heads and then rolling a 6.
1st. Do the events affect each other?
2nd. Find the probability of each separate event
happening. Coin: Die:
P(head)=_____ P(6)=_____
3rd. Multiply them together. P(A and B) = P(A) x P(B)
Mar 19­7:45 AM
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Lesson 8 independent events.notebook
April 28, 2016
Guided Practice:
A
B
C
D
E
F
G
H
A card is drawn from a deck of eight cards with letters A, B, C, D, E, F, G, H. The card is replaced and a second card is drawn. What is the probability of getting a B and a F?
1
64
Solution
Guided Practice
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Lesson 8 independent events.notebook
April 28, 2016
A bag contains 3 blue and 5 red marbles.
a. Find the probability of drawing 2 blue marbles in a row with replacing after the first marble is picked. b. Find the probability of drawing a red marble, replacing it and then drawing a blue marble.
Mar 19­7:45 AM
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Lesson 8 independent events.notebook
April 28, 2016
A jar contains 6 blue, 3 red, 5 green, and 2 yellow candies. 1. P(two red candies) if replaced.
2. P(a yellow then a blue) if replaced.
3. P(two greens then a red) if replaced.
Guided Practice
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Lesson 8 independent events.notebook
April 28, 2016
Answer
What is the probability of rolling an even
number on a number cube and rolling an
odd number on a second roll of the same cube?
Mar 19­7:45 AM
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Lesson 8 independent events.notebook
April 28, 2016
P(orange)
P(4)
P(orange,4)
P(blue or green,2)
P(yellow, number greater than 4)
P(purple, number less than 2)
7
15
90
77
2
3
7
8
3
5
Mar 23­3:13 PM
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Lesson 8 independent events.notebook
April 28, 2016
Assignment: Lesson 8 Independent Probability
Worksheet
Showing work: multiplication of
fractions (canceling)
TEST NEXT WEEK FRIDAY. ALL LATE/
ABSENT WORK DUE.
Mar 23­3:12 PM
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