03­27­17 Independent vs Dependent Events.notebook
March 27, 2017
3-27-17
Aim: SWBAT determine if compound events are independent
or dependent.
Do Now: Extra Credit due now
HW: Worksheets
Quiz Friday
03­27­17 Independent vs Dependent Events.notebook
March 27, 2017
Independent Events: Two events such that the occurrence of
one does not affect the likelihood that the other will occur.
Each of the following would be situations in which
neither event affects the outcome of the other
• Rolling a die and tossing a coin
• Picking a marker out of a box, replacing it, and then picking again
• Spinning a spinner twice in a row
03­27­17 Independent vs Dependent Events.notebook
Probability of Independent Events
P(A and B) = P(A) P(B)
March 27, 2017
03­27­17 Independent vs Dependent Events.notebook
March 27, 2017
Dependent Events: Two events such that the occurrence of
one affects the likelihood that the other will occur.
Each of the following would be situations in which
the 1st event affects the outcome of the other
• Picking a name out of a hat, keeping it, then picking again
• Picking a marker out of a box, keeping it, and then picking again
• Choosing a number from a list of ten, then choosing another number
from the remaining list
03­27­17 Independent vs Dependent Events.notebook
March 27, 2017
Probability of Dependent Events
P(A and B) = P(A)
P(B given A)
• The 2nd fraction's denominator will always be one less than the 1st
fraction's denominator.
• Sometimes, the 2nd fraction's numerator will also be one less than
the 1st fraction's numerator.
03­27­17 Independent vs Dependent Events.notebook
March 27, 2017
03­27­17 Independent vs Dependent Events.notebook
March 27, 2017
If we complete the same problems in an independent and dependent way,
you will see the mathematical difference between the two.
There are 5 red, 1 blue, 6 green, and 3 yellow markers in a box.
Independent Dependent 1. P(red and yellow) 1. P(red and yellow)
2. P(yellow and blue) 2. P(yellow and blue) 3. P(red and green) 3. P(red and green) 4. P(red and red)
4. P(red and red) 5. P(red, yellow, and blue) 5. P(red, yellow, and blue)
03­27­17 Independent vs Dependent Events.notebook
HW
March 27, 2017
03­27­17 Independent vs Dependent Events.notebook
HW
March 27, 2017