AP Statistics : How to use the multiplication rule
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Example Questions
Example Question #101 : Ap Statistics
Charlene has 7 blue chips, and Karen has 5 green ones. They decide to mix them up in a bag, then Karen will pick 5 chips and Charlene gets the rest.
What is the likelyhood Karen ends up with 5 chips of the same color?
There are 2 ways Karen gets 5 chips of the same color: she gets all 5 greens, or 5 blues. there is only 1 way to get all 5 greens: probability of which can be calculated as;
to calculate p(allblue) we use:
since order doesn't matter and chips are being drawn without replacement, this is an acceptable calculation and summing them yields
Example Question #102 : Ap Statistics
A ninja is training for his super secret mission, throwing grappling hooks at targets 
Total likelihood of making the shot = sum of likelihood of making 1st shot+2nd shot+...
1st shot=
2nd shot=.
3rd shot=
4th=
5th=
6th=
Example Question #103 : Ap Statistics
Frank of the forest is a monkey man who was raised by chimpanzees from a very young age. He enjoys swinging with his monkey friends. When Frank jumps from one tree to another, the chance that he falls increases by 10% for every foot he jumps past his armspan of 3 feet. (he has a 10% chance of falling at 4ft)
One day, Frank watches his monkey friends do 
Frank knows from experience not to take a jump route if the likelihood of him falling goes above 
After 
Frank can finish this route, none of the jumps have above a 
After 
After 
After 
After
This is multiplication rule. let's calculate the chance frank doesn't fall.
For the first jump this is 
Since the 7th jump drops his survival rate below 
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