Question

Two friends are being considered for jury duty. The court will be choosing 12 jurors total....

Two friends are being considered for jury duty. The court will be choosing 12 jurors total. the jurors are being selected out of a group of 30 possible jurors. A) What is the probabililty that neither friend is picked as a juror B) what is the probability that both of the friends are picked as jurors C) what is the probability that only one of the friends is picked as juror

Im stucked on this question and dont know where to begin.

Math   Statistics-And-Probability   
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Answer #1

a) What is the probabililty that neither friend is picked as a juror

total number of ways of selecting 12 juros = 30C12

now since neither friend is picked

we have ot select 12 jurors from 30-2 = 28

hence number of ways = 28C12

hence required probability= 28C12 /30C12

b) number of ways that both friends are picked = 28C10   {28 others and 12-2 =10 }

hence required probability = 28C10/30C12

c)

what is the probability that only one of the friends is picked as juror

number of ways = 2C1 * 28C11   {2C1 for selecting 1 friend and remaining 11 will be selcted from 30-2 =28}

hence required probability = 2*28C11/30C12

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