SOLUTION: A bag contains 3 red marables and 5 purple marables. One marable is drawn at random and not replaced. Then a second marable is drawn at random. What is the probability that the fir
Algebra ->
Probability-and-statistics
-> SOLUTION: A bag contains 3 red marables and 5 purple marables. One marable is drawn at random and not replaced. Then a second marable is drawn at random. What is the probability that the fir
Log On
Question 254694: A bag contains 3 red marables and 5 purple marables. One marable is drawn at random and not replaced. Then a second marable is drawn at random. What is the probability that the first marable is purple and the second one is red Found 2 solutions by richwmiller, solver91311:Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! marble not marable.
5/8 for a purple on first draw
3/7 for red on second draw because one marble is gone
I have no idea what "marables" [sic] are, but I'll simply assume they are little round things sort of like marbles. There are 8 total in the bag and 5 of them are purple, so the probability that the first one is purple is . Once you have chosen the first marble, there are only 7 left in the bag since we are doing this without replacement, so the probability that the second marble is red, given that there are 3 red marbles remaining in the bag, is . So the total probability of these two independent events is:
