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General Multiplication Rule &. Independence. For two events A and B, the probability of A and B. Independent Events – One event has no influence.
Typology: Exercises
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For two events A and B, the probability of A and BIndependent Events – One event has no influenceon the probability that another event occursIf P(B|A) = P(B) then A and B are independent**If two events are independent, the probability thatboth A and B will occur is the product of theprobabilities of each events.
P(A^
B)=P(A)
P(B|A) ∩ P(A^ B)=P(A)
P(B)• ∩
In bag of gummy bears 12 were red, 8 were green, 9were orange, and 10 were yellow. Find theprobabilities1.^ Getting a red bear then a green bear2.^ Getting a red bear and a green bear3.^ Getting 3 orange bears4.^ Getting at least 1 red out of 3 bears
Check:
If^ not:
Not^ Disjoint If^ true:
Disjoint Ex.^ #1 Therefore
