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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.
-An investment counselor would like to meet with 14 of his clients on Wednesday,but he only has time for 10 appointments.How many different combinations of the clients could be considered for inclusion into his limited schedule for that day?

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Definitions:

Direct Line of Descent

A familial lineage tracing directly down (or up) through generations, such as from parent to child, without regard to gender.

Surname

A family name passed down from generation to generation, often used in conjunction with a given name to identify a specific individual.

Father's Name

The given name or names of an individual's father, often used for identification or genealogical purposes.

Lineage Members

Individuals who are part of a lineage, a group of people descended from a common ancestor, recognized through familial ties and heritage.

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