ere is a jar that contains 8 marbles and 3 of them are blue. If you randomly draw 2 marbles (WITH replacement), what is the probability that both of the marbles are not blue? Write your answer as a fraction.

Answer 1

First, let's calculate the probability of drawing a non-blue marble on the first draw:

Number of non-blue marbles = 8 - 3 = 5
Total number of marbles = 8

Probability of drawing a non-blue marble on the first draw = Number of non-blue marbles / Total number of marbles
Probability of drawing a non-blue marble on the first draw = 5 / 8 = 5/8

Since we are drawing with replacement, the probability of drawing a non-blue marble on the second draw is also 5/8.

Now, to find the probability that both marbles drawn are not blue, we multiply the probabilities:

Probability = (5/8) * (5/8) = 25/64

Therefore, the probability that both of the marbles drawn are not blue is 25/64.