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The probability of a resident of a certain city being the victim of a serious cr

ID: 3389809 • Letter: T

Question

The probability of a resident of a certain city being the victim of a serious crime at some point in his or her life is approximately 8/25. What are the odds in favor of a resident of this city never being the victim of a serious crime during his or her lifetime? The probability of a resident of a certain city being the victim of a serious crime at some point in his or her life is approximately 8/25. What are the odds in favor of a resident of this city never being the victim of a serious crime during his or her lifetime? The probability of a resident of a certain city being the victim of a serious crime at some point in his or her life is approximately 8/25. What are the odds in favor of a resident of this city never being the victim of a serious crime during his or her lifetime?

Explanation / Answer

Odds in favor of a particular event are given by Number of favorable outcomes to Number of unfavorable outcomes.

   Number of favorable outcomes
  P(A) =   Number of unfavorable outcomes

number of favorable outcomes means resident never being a victim of a serious crime=(1-8/25)*25=17

number of unfavourable outcomes means resident being a victim of serious crime is =8

therefore odds in favor=17/8

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