Question

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?

Your answer should include both the mathematical proof and a written statement.

Answer 1

you have a greater probability of drawing two blue marbles if u replace the first blue marble since the number of blue marbles increases.

if the first blue marble is not replaced the probability of drawing two blue marbles are


if the first blue marble is replaced the probability of drawing two blue marbles are


since

if the marble is replaced you have greater probability