there is a jar that contains 8 marbles and 3 of them are blue. if you randomly draw two marbles (WITH replacement), what is the probability that both are not blue? write your answer as a fraction. you do not need to simplify.
First, let's find the probability of drawing a non-blue marble on the first draw.
There are 8 total marbles in the jar, and 3 of them are blue. So, the probability of drawing a non-blue marble on the first draw is 5/8.
Since we are replacing the first marble before drawing the second one, the total number of marbles in the jar remains the same (8 marbles). However, now there are 5 non-blue marbles left in the jar.
The probability of drawing a non-blue marble on the second draw is also 5/8.
To find the probability of both events happening, we multiply the probabilities:
(5/8) * (5/8) = 25/64
Therefore, the probability of drawing two marbles that are not blue is 25/64.