Question

A local fraternity is conducting a raffle where 50 tickets are to be sold-one per customer. There are three prizes to be awarded. If the four organizers of the raffle each buy one ticket, what is the probability that the four organizers win a all of the prizes? b exactly two of the prizes? c exactly one of the prizes? d none of the prizes? 2.51
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Answer. -- Date: 24/01/2019 The available information is shown in below The total number of tickets is: 50 IİK: İOİī.al 111 milKY OT lts: The number of organizers is: 4

a) Calculate the probability that the four organizers win all the prizes. 4 P(All of the prize)50 4 19600 0.000204 4 19600 Hence, the required probability is 0.000204

b) Calculate the probability that the four organizers win exactly two of the prizes. 4(46 2 Exactly 2 of the prizes 50 6x 46 19600 276 19600 0.014082 276 19600 Hence, the required probability is = 0.014082

c) Calculate the probability that the four organizers win exactly one of the prizes. Exactly 1 of) the prizes 4) 46 2 50 4x1035 19600 4140 19600 0.211224 4140 19600 Hence, the required probability is = 0.21 I 224​​​​​​

d) Calculate the probability that the four organizers win none of the prizes. 4(46 P(None of the prizes) 50 1x 15180 19600 15180 19600 0.77449 15180 Hence, the required probability is 0 0.77449​​​​​​

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