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You are among 237 citizens who have been selected for jury duty. Using this base, determine...

You are among 237 citizens who have been selected for jury duty. Using this base, determine the following probabilities: a. That you will be one of 45 citizens selected for a jury panel b. That you will then be one of 12 citizens selected to serve as members of the jury An expert already answered this question but I did not understand I need more details.

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Answer #1

Answer:

Given,

Total number of citizens = 237

a)

To give the probability that you will be one of 45 citizens selected for a jury panel

Required probability = 45C1 / 237C1 [ here nCr = n!/(n-r)!*r!]

= 45 / 237

= 0.1899

Required probability = 0.1899

b)

To give the probability that you will then be one of 12 citizens selected to serve as members of the jury

i.e.,

= 12C1 / 237C1

= 12 / 237

= 0.0506

Required probability = 0.0506

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