a bag of 100 blue and purple marbles has three times as many blue marbles as purple marbles. if purple marbles are added to the bag until the number of purple marbles in the bag is double the original amount, what is the probability of taking out a blue marble and then choosing another blue marble?

The ivring berlin learning center would like a possible net profit of $650,000 on its new resource manual it sells to schools. the fixed costs for producing the manual are $780,000 and the variable cost per package is $19.85. if the estimated unit sales are 1,250,000 units, what selling price unit should the ivring berlin learning center try?