A bag contains 17 marties 7 red, 7 green and 3 blue. In ths experment, 8 martles are taken out of the bag at random without replacement Let R.Gand Bbe the number of red, green and blue martles taken out respectivety Throughout thes question you may input the bnomal coefficent () as con), r any nonvegatve vtegers n and k 1. How many ways are there of taking r red marties, g green marbles and b be marties out of the bag? 2 Using ths, find an expression for the jont probablity mass function of R. Band G 3 What is the probabity that the same number of red and blue marbles are taken out? Give your answer rounded to three decimal places P(R= B) =

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