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
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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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