Concept explainers
To find:the probability that the incumbent wins the election.
Answer to Problem 53E
The probability of winning one incumbent politician=
Explanation of Solution
Given information:The incumbent and two first-time politicians are the only candidates
for a public office.The first-time politicians have the same probability of winning. The incumbent has six times the probability of winning as either of the other candidates
Formula Used:
If an event has n(E) equally likely outcomes and its
Calculation:
Total number of candidate =one incumbent politician + two first-time politician=1+2=3.
Let chance of winning one first-time politician is = a.
Hence the probability of winning first first-time politician=
The probability of winning second first-time politician=
The probability of winning one incumbentpolitician=6 times
Hence,
Hence the probability of winning first first-time politician=
The probability of winning second first-time politician=
The probability of winning one incumbent politician=
Chapter 8 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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