Question

There are 10 marbles in a bag. Three green, / yellow, and 5 blue. If you draw a marble, replace it, and then draw another, what is the probability of choosing two yellow marbles

Answer 1

Since there are 10 marbles in total, and you replace the marble after drawing it, the probability of drawing a yellow marble on any one draw is 1/3.

Since you draw two marbles with replacement, the probability of drawing two yellow marbles is the product of the probabilities of drawing a yellow marble on each of the two draws:

P(Yellow and Yellow) = P(Yellow on Draw 1) * P(Yellow on Draw 2)

P(Yellow and Yellow) = (1/3) * (1/3)

P(Yellow and Yellow) = 1/9

Therefore, the probability of choosing two yellow marbles is 1/9.