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Event 1 The Prior Probabilities of Events A1,A2,and A3 Are P(A1)= .50,P(A2)=

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Event 1
The prior probabilities of events A1,A2,and A3 are P(A1)= .50,P(A2)= .20 and P(A3)= .30.The conditional probabilities of event B given A1,A2,and A3 are P(B / A1)= .40,P(B / A2)= .50 and P(B / A3)= .30.
-A state's license plate has 9 positions,each of which has 37 possibilities (26 letters,10 integers,or blank).If the purchaser of a vanity plate wants his first seven positions to be Stanley,in how many ways can his plate appear?

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