A person has purchased 10 of 1000 tickets sold in a certain raffle. To determine the five prize winners, five tickets are to be drawn at random and without replacement. Compute the probability that this person wins at least one prize. Hint: First compute the probability that the person does not win a prize.
Added by Erica G.
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This means that all 5 drawn tickets are from the remaining 990 tickets that the person did not buy. There are a total of ${1000 \choose 5}$ ways to choose 5 tickets from 1000, and ${990 \choose 5}$ ways to choose 5 tickets from the 990 that the person did not buy. Show more…
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A person has purchased 10 of 1000 tickets sold in a certain raffle. To determine the five prize winners, 5 tickets are to be drawn at random and without replacement. Compute the probability that this person will win at least one prize. Hint: First compute the probability that the person does not win a prize.
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John L.
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