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CH9 Lesson 1 - Complementary Events
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If I order a box of 12 glasses and 3 arrive broken, how many could I assume would arrive broken if I ordered 120?
30: 3/12 = x/120
What's the probability of pulling 2 solid colored marbles with replacement?
36/100 or 9/25
How many different ways can you roll a 7 on these two dice?
6: {1,6}, {2,5}, {3,4}, {4,3}, {5,2}, {6,1}
Suppose you spin the spinner twice, find P(Landing on Red, Then Green)
3/64
How many different outcomes are possible when rolling two dice?
6 outcomes on the purple die x 6 outcomes on the green die = 36 total outcomes
Find the probability of pulling 2 striped marbles without replacement.
12/90 or 2/15
P(rolling 6 on purple die) and P(rolling number less than 1 on green die)
0 or 0%
P'(Solid Black or Solid Red)
7/10 or 0.7 or 70%
P(Red or Yellow)
4/10 or 0.4 or 40%
P(landing on an ODD number)
6/8 or 3/4 or 0.75 or 75%
P'(Yellow)
6/8 or 3/4 or 0.75 or 75%
P(Green or Blue)
1/2 or 0.5 or 50%
Wearing a blue shirt. What is the complement of this event?
Wearing a shirt that is NOT blue.
75% of students completed their homework. What is the complement of this event?
students who DID NOT complete their homework.
Finding a 4-leaf clover. What is the complement of this event?
NOT finding a 4-leaf clover.
Getting an A on a test. What is the complement of this event/
NOT getting an A on a test.
Being on time for school. What is the complement of this event?
NOT being on time for school.
Winning the lottery. What is the complement of this event?
NOT winning the lottery.
Bringing your ID to school. What is the complement of this event?
NOT bringing your ID to school.
Picking a red marker out of a box of markers. What is the complement of this event?
Picking a marker that is NOT red.
The Bears won the game. What is the complement of this event?
The Bears did NOT win the game.
25% of the students were wearing sneakers. What is the complement of this event?
students who were NOT wearing sneakers
It is sunny outside. What is the complement of this event?
It is NOT sunny outside.