SOLUTION: A bag contains five blue marbles, five red marbles, five white marbles, and five black marbles. You draw a marble from the bag, and then draw another marble from the bag. Do you

Algebra ->  Permutations -> SOLUTION: A bag contains five blue marbles, five red marbles, five white marbles, and five black marbles. You draw a marble from the bag, and then draw another marble from the bag. Do you      Log On


   



Question 446443: A bag contains five blue marbles, five red marbles, five white marbles, and five black marbles. You draw a marble from the bag, and then draw another marble from the bag.
Do you have a greater probability of drawing two blue marbles if you replace the first marble after you draw it or if you don't replace the marble?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
20 marbles in all of which: 5 are blue, 5 are red, 5 are white and 5 are black
Drawing 2 marbles without replacin the 1st blue drawn
P(2 blue) = 5/20*4/19 = 20/380 = 1/19
Drawing 2 marbles with replacement of the first blue one
P(2 blue) = 5/20*5/20 = 25/400 = 1//16
1/16 > 1/19