A test Committee knows by experience that the probability of being admitted into a university, is 0,95 for students with high grades, 0,5 for those who got medium grades and 0,2 for the other students. The committee estimate that between the candidates, 35% have high grades and 50% have medium grades. If we consider a candidate randomly selected, had been admitted .what would be the probability that she hasn't gotten any of the high and medium grades.
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Note: 0 , 2 ⋅ 0 , 1 5 + 0 , 5 ⋅ 0 , 5 + 0 , 9 5 ⋅ 0 , 3 5 0 , 2 ⋅ 0 , 1 5 = 0 , 0 4 8 9 7 9 5 9 1 8 4 which rounds to 0 , 0 4 9 0 not 0 , 0 4 8 9 .